Details

analyze633.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	7
9.4%	9.4%	90.5%	0.1%	0%	0%	0%	8
14.1%	14%	85.8%	0.1%	0%	0%	0%	9
16.4%	16.4%	83.5%	0.1%	0%	0%	0%	10
19.1%	19.1%	80.7%	0.1%	0%	0%	0%	11
20.5%	20.5%	79.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.9s (19%)

Results

1.7s	3581×	body	1024	valid
568.0ms	3039×	body	256	valid
452.0ms	1425×	body	512	valid
187.0ms	211×	body	2048	valid
0.0ms	1×	body	512	infinite
0.0ms	1×	body	256	infinite

Bogosity

preprocess21.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`associate-/l*_binary64`
8×	`associate-/r/_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	39	56
2	53	56
3	65	56
4	69	56
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 a (/.f64 (cos.f64 (+.f64 r b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 r b)) a))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 b (/.f64 (cos.f64 (+.f64 r a)) (sin.f64 r)))
(/.f64 (sin.f64 r) (/.f64 (cos.f64 (+.f64 r a)) b))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	20	14
4	21	14

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

eval1.0ms (0%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

16.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
✓	4.3b	(cos.f64 (+.f64 b a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series16.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
2.0ms	r	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
1.0ms	b	@	0	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
1.0ms	b	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
1.0ms	a	@	inf	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`prod-diff_binary64`
556×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
288×	`pow2_binary64`
211×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	26
2	2938	26

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (*.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2)) (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) -2) (/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) 1))))))

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-r_binary64`
753×	`fma-def_binary64`
723×	`associate-l_binary64`
372×	`times-frac_binary64`
327×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1383
1	456	1333
2	1533	1282

Stop Event

1×	node limit

Counts

217 → 179

Calls

Call 1

Inputs
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)

Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) b)))
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 r b)
(*.f64 b r)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (.f64 b r))
(.f64 r (+.f64 (.f64 (pow.f64 b 3) -1/6) b))
(*.f64 r (fma.f64 (pow.f64 b 3) -1/6 b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (fma.f64 r b (.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (.f64 r (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(.f64 r (+.f64 (.f64 (pow.f64 b 3) -1/6) (fma.f64 1/120 (pow.f64 b 5) b)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (fma.f64 r b (.f64 1/120 (.f64 r (pow.f64 b 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 b 3) r) (fma.f64 -1/5040 (.f64 r (pow.f64 b 7)) (.f64 r (+.f64 b (.f64 1/120 (pow.f64 b 5))))))
(.f64 r (+.f64 (fma.f64 1/120 (pow.f64 b 5) b) (fma.f64 (pow.f64 b 3) -1/6 (.f64 -1/5040 (pow.f64 b 7)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)

eval57.0ms (0.4%)

Compiler: Compiled 4031 to 1218 computations (69.8% saved)

prune85.0ms (0.6%)

Pruning

43 alts after pruning (43 fresh and 0 done)

	Pruned	Kept	Total
New	136	43	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	43	180

Error

0.1b

Counts

180 → 43

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(*.f64 (/.f64 r (cos.f64 a)) b)
	31.6b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	16.2b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))))
	32.5b	(/.f64 (*.f64 b r) (cos.f64 a))
	16.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))))
	16.2b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
	31.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	48.1b	(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
	36.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
▶	16.2b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	33.2b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
	29.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	36.8b	(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
	26.7b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	16.3b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
	32.9b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
	0.9b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	32.9b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
	25.7b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	27.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
▶	33.6b	(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
	25.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
▶	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	27.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
▶	45.7b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	35.3b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (cos.f64 (+.f64 b a)))
	52.2b	(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	30.8b	(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	16.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	48.2b	(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
	32.5b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	16.5b	(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
	16.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	33.1b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
	16.2b	(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))

Compiler

Compiled 1942 to 1100 computations (43.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 b) (cos.f64 a))
	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 55 to 12 computations (78.2% saved)

series19.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	r	@	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
2.0ms	b	@	inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	a	@	inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	a	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	-inf	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`log-prod_binary64`
549×	`fma-def_binary64`
291×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	293	30
2	4304	30

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (cos.f64 b) (cos.f64 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 r (.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) (.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) (pow.f64 (cbrt.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2) (cbrt.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 r (sin.f64 b))) (.f64 (sqrt.f64 (.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) (sqrt.f64 (.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 b) (neg.f64 r)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 r (sin.f64 b))) 1) (/.f64 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Outputs

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a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 b a)) 2) (/.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 a)) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 1))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-def_binary64`
768×	`associate-l_binary64`
747×	`associate-r_binary64`
356×	`times-frac_binary64`
319×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1894
1	479	1846
2	1640	1785

Stop Event

1×	node limit

Counts

171 → 137

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 a) b)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) a)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))

Outputs
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (.f64 (sin.f64 a) (.f64 r (*.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (*.f64 b b)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (*.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 2)))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (*.f64 b b))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (.f64 b b))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)) (.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (-.f64 (/.f64 (.f64 (sin.f64 a) -1/3) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (pow.f64 b 4))))
(fma.f64 (/.f64 r (cos.f64 a)) b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r)) (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 r -1/3)) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 2)))))) (neg.f64 (pow.f64 b 4)) (.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 3) (pow.f64 (sin.f64 a) 2))))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r))))))
(fma.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (neg.f64 (.f64 a a)) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (*.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) a)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (-.f64 (-.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r))))) (.f64 (pow.f64 a 3) (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) r)))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (.f64 a a) (+.f64 (.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r -1/3))) a) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (sin.f64 a) b)
(*.f64 b (sin.f64 a))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (.f64 b (sin.f64 a)))
(fma.f64 b (sin.f64 a) (.f64 (sin.f64 a) (.f64 (pow.f64 b 3) -1/6)))
(.f64 (sin.f64 a) (+.f64 b (.f64 (pow.f64 b 3) -1/6)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 b (sin.f64 a) (.f64 (pow.f64 b 5) (*.f64 (sin.f64 a) 1/120))))
(fma.f64 b (sin.f64 a) (.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 5) 1/120) (*.f64 (pow.f64 b 3) -1/6))))
(+.f64 (.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (.f64 (sin.f64 a) b) (.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (.f64 1/120 (.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 b (sin.f64 a) (.f64 (pow.f64 b 5) (.f64 (sin.f64 a) 1/120)))))
(+.f64 (.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 5) 1/120) b)) (.f64 (sin.f64 a) (+.f64 (.f64 (pow.f64 b 3) -1/6) (*.f64 (pow.f64 b 7) -1/5040))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 b) a)
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (.f64 (sin.f64 b) a))
(fma.f64 (sin.f64 b) a (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) -1/6)))
(.f64 (sin.f64 b) (+.f64 a (.f64 (pow.f64 a 3) -1/6)))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 (sin.f64 b) a)))
(fma.f64 (sin.f64 b) a (.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 a 3) -1/6) (*.f64 (pow.f64 a 5) 1/120))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(fma.f64 -1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/5040 (.f64 (sin.f64 b) (pow.f64 a 7)) (fma.f64 1/120 (.f64 (sin.f64 b) (pow.f64 a 5)) (.f64 (sin.f64 b) a))))
(+.f64 (.f64 (sin.f64 b) (+.f64 a (.f64 1/120 (pow.f64 a 5)))) (.f64 (sin.f64 b) (+.f64 (.f64 (pow.f64 a 3) -1/6) (*.f64 (pow.f64 a 7) -1/5040))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b))))
(fma.f64 -1/2 (.f64 b (.f64 b (cos.f64 a))) (cos.f64 a))
(.f64 (+.f64 (.f64 (*.f64 -1/2 b) b) 1) (cos.f64 a))
(+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)))))
(fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (fma.f64 -1/2 (.f64 b (*.f64 b (cos.f64 a))) (cos.f64 a)))
(+.f64 (cos.f64 a) (.f64 (cos.f64 a) (+.f64 (.f64 b (.f64 b -1/2)) (.f64 (pow.f64 b 4) 1/24))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(fma.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6)) (fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b))))))
(fma.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6)) (fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (fma.f64 -1/2 (.f64 b (.f64 b (cos.f64 a))) (cos.f64 a))))
(+.f64 (fma.f64 (cos.f64 a) (.f64 (pow.f64 b 4) 1/24) (cos.f64 a)) (.f64 (cos.f64 a) (+.f64 (.f64 (.f64 -1/2 b) b) (*.f64 -1/720 (pow.f64 b 6)))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (cos.f64 b))
(.f64 (+.f64 (.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b))
(.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (fma.f64 1/24 (*.f64 (cos.f64 b) (pow.f64 a 4)) (cos.f64 b)))
(+.f64 (cos.f64 b) (.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (.f64 a a)) (.f64 1/24 (pow.f64 a 4)))))
(.f64 (cos.f64 b) (+.f64 (.f64 a (*.f64 a -1/2)) (fma.f64 1/24 (pow.f64 a 4) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1/720 (.f64 (cos.f64 b) (pow.f64 a 6)) (fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (fma.f64 1/24 (.f64 (cos.f64 b) (pow.f64 a 4)) (cos.f64 b))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 a 4)) 1) (cos.f64 b)) (.f64 (cos.f64 b) (+.f64 (.f64 -1/720 (pow.f64 a 6)) (.f64 -1/2 (.f64 a a)))))
(fma.f64 (cos.f64 b) (fma.f64 -1/720 (pow.f64 a 6) (.f64 a (.f64 a -1/2))) (*.f64 (fma.f64 1/24 (pow.f64 a 4) 1) (cos.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 r (cos.f64 a)) b)
✓	0.1b	(/.f64 r (cos.f64 a))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series16.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(/.f64 r (cos.f64 a))
4.0ms	a	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	a	@	inf	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	b	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)
1.0ms	r	@	0	(*.f64 (/.f64 r (cos.f64 a)) b)

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`pow1_binary64`
715×	`add-log-exp_binary64`
715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1899	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 r (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 a)) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 2) (cbrt.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 r) 2) (*.f64 (cbrt.f64 r) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) (sqrt.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 r) (/.f64 1 (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 a)) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) 1) (/.f64 (cbrt.f64 r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) 1) (/.f64 (sqrt.f64 r) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 r (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 r) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 r) (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 r (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 r) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 r) (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 r (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 r (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 a) r) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 r (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 r (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 r 3) (pow.f64 (cos.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (cos.f64 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 r (cos.f64 a)) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r b) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 r b)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r b) 1) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) b) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (neg.f64 r)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 r (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 a)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 r (cos.f64 a)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (/.f64 r (cos.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 a)) b)))))))

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

649×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
562×	`fma-def_binary64`
540×	`distribute-lft-neg-in_binary64`
537×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	512
1	211	470
2	852	448
3	4227	437

Stop Event

1×	node limit

Counts

94 → 70

Calls

Call 1

Inputs
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) r))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) (+.f64 r (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(*.f64 r b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/48 (.f64 b r)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (*.f64 r b))))))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))

Outputs
r
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) r)
(fma.f64 1/2 (.f64 r (.f64 a a)) r)
(.f64 r (fma.f64 1/2 (.f64 a a) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) r))
(fma.f64 1/2 (.f64 r (.f64 a a)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 r -5/24)) r))
(fma.f64 1/2 (.f64 r (.f64 a a)) (fma.f64 (neg.f64 (pow.f64 a 4)) (*.f64 r -5/24) r))
(fma.f64 r (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 r 5/24) r))
(.f64 r (+.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 (pow.f64 a 4) 5/24)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) r)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 r) (.f64 1/24 r)))) (+.f64 r (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 -1/720 r) (+.f64 (.f64 1/48 r) (.f64 1/2 (+.f64 (.f64 -1/4 r) (*.f64 1/24 r))))))))))
(fma.f64 1/2 (.f64 r (.f64 a a)) (+.f64 (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 r -5/24)) r) (neg.f64 (.f64 (pow.f64 a 6) (fma.f64 -1/720 r (fma.f64 1/48 r (.f64 1/2 (*.f64 r -5/24))))))))
(fma.f64 1/2 (.f64 r (.f64 a a)) (-.f64 (fma.f64 (neg.f64 (pow.f64 a 4)) (.f64 r -5/24) r) (.f64 (pow.f64 a 6) (+.f64 (.f64 r -5/48) (.f64 r 7/360)))))
(-.f64 (fma.f64 r (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 4) (.f64 r 5/24) r)) (.f64 (pow.f64 a 6) (*.f64 r -61/720)))
(fma.f64 r (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 6) (.f64 r 61/720) (fma.f64 (pow.f64 a 4) (.f64 r 5/24) r)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 r b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (.f64 r b))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 r b)) (.f64 r b))
(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b))
(.f64 (.f64 r (fma.f64 1/2 (*.f64 a a) 1)) b)
(.f64 r (.f64 (fma.f64 1/2 (*.f64 a a) 1) b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 r b)) (fma.f64 r b (neg.f64 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 r b) (.f64 1/24 (*.f64 r b)))))))
(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 r b)) (.f64 (pow.f64 a 4) (.f64 (*.f64 r b) -5/24)))
(fma.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 r b) (.f64 (pow.f64 a 4) (.f64 (*.f64 r b) 5/24)))
(.f64 (.f64 r b) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 r b))) (+.f64 (.f64 r b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (.f64 r b)))) (+.f64 (.f64 -1/720 (.f64 r b)) (.f64 1/48 (.f64 b r)))))) (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 b r)) (.f64 1/24 (*.f64 r b))))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 r b)) (fma.f64 r b (.f64 -1 (+.f64 (.f64 (pow.f64 a 6) (fma.f64 1/2 (fma.f64 -1/4 (.f64 r b) (.f64 1/24 (.f64 r b))) (fma.f64 -1/720 (.f64 r b) (.f64 1/48 (.f64 r b))))) (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 r b) (.f64 1/24 (*.f64 r b))))))))
(fma.f64 1/2 (.f64 r (.f64 (.f64 a a) b)) (fma.f64 r b (neg.f64 (fma.f64 (pow.f64 a 6) (fma.f64 1/2 (.f64 (.f64 r b) -5/24) (.f64 (.f64 r b) 7/360)) (.f64 (pow.f64 a 4) (.f64 (.f64 r b) -5/24))))))
(-.f64 (fma.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 r b) (.f64 (pow.f64 a 4) (.f64 (.f64 r b) 5/24))) (.f64 (pow.f64 a 6) (fma.f64 (.f64 r b) 7/360 (.f64 (*.f64 r b) -5/48))))
(-.f64 (.f64 (.f64 r b) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24))) (.f64 (pow.f64 a 6) (fma.f64 (.f64 r b) 7/360 (.f64 r (.f64 b -5/48)))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(*.f64 b (/.f64 r (cos.f64 a)))
(*.f64 r (/.f64 b (cos.f64 a)))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 r (sin.f64 b))
✓	0.1b	(/.f64 1 (cos.f64 (+.f64 b a)))
✓	0.3b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
	4.3b	(cos.f64 (+.f64 b a))

Compiler

Compiled 37 to 13 computations (64.9% saved)

series16.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
2.0ms	a	@	0	(/.f64 1 (cos.f64 (+.f64 b a)))
2.0ms	b	@	0	(/.f64 1 (cos.f64 (+.f64 b a)))
1.0ms	a	@	-inf	(/.f64 1 (cos.f64 (+.f64 b a)))
1.0ms	a	@	inf	(/.f64 1 (cos.f64 (+.f64 b a)))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
574×	`prod-diff_binary64`
313×	`pow2_binary64`
220×	`pow1/3_binary64`
220×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	234	23
2	3145	23

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(/.f64 1 (cos.f64 (+.f64 b a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (sin.f64 b)) 1) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 r (sin.f64 b)) -1) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3) (pow.f64 (*.f64 r (sin.f64 b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3) (pow.f64 (*.f64 r (sin.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) (pow.f64 (cos.f64 (+.f64 b a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (+.f64 b a)))) 1))))))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

753×	`associate-l_binary64`
645×	`fma-def_binary64`
482×	`times-frac_binary64`
423×	`associate-/l*_binary64`
370×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1485
1	480	1422
2	1663	1366

Stop Event

1×	node limit

Counts

123 → 101

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 a))
(+.f64 (/.f64 1 (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 b))
(+.f64 (/.f64 1 (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (/.f64 (.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (*.f64 b b)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))) (/.f64 r (/.f64 (cos.f64 a) b))))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (.f64 b b))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) -1/3)) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))) (/.f64 r (/.f64 (cos.f64 a) b))) (.f64 (-.f64 (/.f64 (.f64 (sin.f64 a) -1/3) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 4))))
(fma.f64 (/.f64 r (cos.f64 a)) b (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r)) (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 r -1/3)) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)))) (neg.f64 (pow.f64 b 4)) (.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 r (/.f64 (cos.f64 b) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 r a))))
(+.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (/.f64 (*.f64 r a) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (-.f64 (/.f64 (.f64 r a) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (.f64 a (*.f64 a (fma.f64 -1/2 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r)))))))
(fma.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (.f64 a (neg.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (/.f64 (.f64 r a) (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (-.f64 (-.f64 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (.f64 a (.f64 a (fma.f64 -1/2 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r)))))) (.f64 (pow.f64 a 3) (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (.f64 a a) (+.f64 (.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r -1/3)))) (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 1 (cos.f64 a))
(+.f64 (/.f64 1 (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 1 (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) b)))
(+.f64 (/.f64 1 (cos.f64 a)) (/.f64 b (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) b (/.f64 1 (cos.f64 a)))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) b)) (.f64 (.f64 b b) (-.f64 (/.f64 1/2 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(+.f64 (/.f64 1 (cos.f64 a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (/.f64 b (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a)))))
(fma.f64 b (*.f64 b (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) b (/.f64 1 (cos.f64 a))))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) (pow.f64 (cos.f64 a) 2)) (+.f64 (.f64 (pow.f64 b 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 3))))))
(+.f64 (/.f64 1 (cos.f64 a)) (+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) b)) (fma.f64 (.f64 b b) (-.f64 (/.f64 1/2 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (neg.f64 (.f64 (pow.f64 b 3) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))))))))
(+.f64 (/.f64 1 (cos.f64 a)) (-.f64 (fma.f64 (.f64 b b) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (/.f64 b (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a)))) (.f64 (pow.f64 b 3) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (/.f64 (neg.f64 (sin.f64 a)) (/.f64 (cos.f64 a) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))
(+.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) b (/.f64 1 (cos.f64 a))) (.f64 (.f64 b b) (-.f64 (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (.f64 b (-.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 b))
(+.f64 (/.f64 1 (cos.f64 b)) (/.f64 (*.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 1 (cos.f64 b)) (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) a)))
(+.f64 (/.f64 1 (cos.f64 b)) (*.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a))
(fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a (/.f64 1 (cos.f64 b)))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (/.f64 (.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) a)) (.f64 (.f64 a a) (-.f64 (/.f64 1/2 (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 1 (cos.f64 b)) (fma.f64 (.f64 a a) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a)))
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a (/.f64 1 (cos.f64 b))))
(+.f64 (/.f64 1 (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 (sin.f64 b) a) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(+.f64 (/.f64 1 (cos.f64 b)) (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (-.f64 (/.f64 1/2 (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))) (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3))) (+.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) a)) (.f64 (.f64 a a) (-.f64 (/.f64 1/2 (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(+.f64 (/.f64 1 (cos.f64 b)) (-.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a)) (.f64 (pow.f64 a 3) (-.f64 (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))
(-.f64 (fma.f64 a (.f64 a (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) a (/.f64 1 (cos.f64 b)))) (.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3 (/.f64 (neg.f64 (fma.f64 (sin.f64 b) (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))) (cos.f64 b)))))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (+.f64 a b)))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))
(/.f64 1 (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 1 (cos.f64 (+.f64 b a)))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 r (sin.f64 b)) 2)
✓	0.2b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
	4.3b	(cos.f64 (+.f64 b a))
✓	29.1b	(sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))

Compiler

Compiled 45 to 17 computations (62.2% saved)

series21.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))
2.0ms	b	@	0	(pow.f64 (*.f64 r (sin.f64 b)) 2)
1.0ms	b	@	-inf	(pow.f64 (*.f64 r (sin.f64 b)) 2)
1.0ms	b	@	inf	(pow.f64 (*.f64 r (sin.f64 b)) 2)
1.0ms	r	@	-inf	(pow.f64 (*.f64 r (sin.f64 b)) 2)

rewrite114.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log-prod_binary64`
589×	`prod-diff_binary64`
322×	`pow2_binary64`
225×	`pow1/3_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	266	29
2	3353	29

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(pow.f64 (*.f64 r (sin.f64 b)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 r) 2) (*.f64 (cbrt.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 r (sin.f64 b)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (*.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 r (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 r (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r r) (pow.f64 (sin.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 b) 2) (*.f64 r r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (*.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 4)) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 3) (sqrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 r (sin.f64 b)) r) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 r (sin.f64 b)) (sin.f64 b)) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)) (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 r (sin.f64 b)))) 1))))))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

744×	`fma-neg_binary64`
692×	`fma-def_binary64`
388×	`times-frac_binary64`
343×	`associate-/l*_binary64`
292×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1506
1	456	1451
2	1543	1399
3	7100	1390

Stop Event

1×	node limit

Counts

197 → 154

Calls

Call 1

Inputs
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(.f64 -1 (.f64 (sin.f64 b) r))
(.f64 -1 (.f64 (sin.f64 b) r))
(.f64 -1 (.f64 (sin.f64 b) r))
(.f64 -1 (.f64 (sin.f64 b) r))
(*.f64 r b)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 b 7) r)) (+.f64 (.f64 r b) (.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 r 2) (pow.f64 b 2))
(+.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (.f64 -1/3 (*.f64 (pow.f64 b 4) (pow.f64 r 2))))
(+.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 r 2)) (.f64 1/36 (pow.f64 r 2))) (pow.f64 b 6)) (+.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (.f64 -1/3 (.f64 (pow.f64 b 4) (pow.f64 r 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 r 2)) (.f64 1/36 (pow.f64 r 2))) (pow.f64 b 6)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 r 2)) (.f64 -1/2520 (pow.f64 r 2))) (pow.f64 b 8)) (+.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (.f64 -1/3 (*.f64 (pow.f64 b 4) (pow.f64 r 2))))))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))

Outputs
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
(*.f64 (sin.f64 b) r)
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(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 r 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 r r))
(.f64 (.f64 b r) (*.f64 b r))
(+.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (.f64 -1/3 (*.f64 (pow.f64 b 4) (pow.f64 r 2))))
(fma.f64 (.f64 r r) (.f64 b b) (.f64 -1/3 (.f64 (pow.f64 b 4) (*.f64 r r))))
(.f64 (.f64 r r) (+.f64 (.f64 b b) (.f64 (pow.f64 b 4) -1/3)))
(.f64 (.f64 r r) (fma.f64 (pow.f64 b 4) -1/3 (*.f64 b b)))
(+.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 r 2)) (.f64 1/36 (pow.f64 r 2))) (pow.f64 b 6)) (+.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (.f64 -1/3 (.f64 (pow.f64 b 4) (pow.f64 r 2)))))
(fma.f64 (.f64 (.f64 r r) 2/45) (pow.f64 b 6) (fma.f64 (.f64 r r) (.f64 b b) (.f64 -1/3 (.f64 (pow.f64 b 4) (*.f64 r r)))))
(fma.f64 (.f64 (.f64 r r) 2/45) (pow.f64 b 6) (.f64 (.f64 r r) (+.f64 (.f64 b b) (.f64 (pow.f64 b 4) -1/3))))
(.f64 (.f64 r r) (+.f64 (fma.f64 (pow.f64 b 4) -1/3 (.f64 b b)) (.f64 (pow.f64 b 6) 2/45)))
(+.f64 (.f64 (+.f64 (.f64 1/60 (pow.f64 r 2)) (.f64 1/36 (pow.f64 r 2))) (pow.f64 b 6)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 r 2)) (.f64 -1/2520 (pow.f64 r 2))) (pow.f64 b 8)) (+.f64 (.f64 (pow.f64 r 2) (pow.f64 b 2)) (.f64 -1/3 (*.f64 (pow.f64 b 4) (pow.f64 r 2))))))
(fma.f64 (.f64 (.f64 r r) 2/45) (pow.f64 b 6) (fma.f64 (.f64 (.f64 r r) -1/315) (pow.f64 b 8) (fma.f64 (.f64 r r) (.f64 b b) (.f64 -1/3 (.f64 (pow.f64 b 4) (*.f64 r r))))))
(fma.f64 (.f64 (.f64 r r) 2/45) (pow.f64 b 6) (fma.f64 (.f64 r (.f64 r -1/315)) (pow.f64 b 8) (.f64 (.f64 r r) (+.f64 (.f64 b b) (.f64 (pow.f64 b 4) -1/3)))))
(fma.f64 (.f64 r r) (.f64 (pow.f64 b 8) -1/315) (.f64 (.f64 r r) (+.f64 (fma.f64 (pow.f64 b 4) -1/3 (.f64 b b)) (.f64 (pow.f64 b 6) 2/45))))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))
(*.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))
(.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a))))
✓	0.1b	(/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))
✓	0.1b	(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
	4.3b	(cos.f64 (+.f64 b a))

Compiler

Compiled 51 to 10 computations (80.4% saved)

series21.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Expression
3.0ms	b	@	(/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))
2.0ms	a	@	(/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))
2.0ms	r	@	(/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a))))
1.0ms	b	@	(/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a))))
1.0ms	a	@	(/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a))))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`log-prod_binary64`
613×	`prod-diff_binary64`
241×	`fma-def_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	248	38
2	3673	38

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))
(/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a))))

Outputs

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(sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 r) (*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) r) (sqrt.f64 (cos.f64 (+.f64 b 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#<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) 1) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (neg.f64 (sin.f64 b))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) (neg.f64 (sin.f64 b))) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) 1) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) r) 1) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) r) (cbrt.f64 (cos.f64 (+.f64 b a)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) r) (pow.f64 (cos.f64 (+.f64 b a)) 1/4)) (pow.f64 (cos.f64 (+.f64 b a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a))))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (neg.f64 (sin.f64 b))) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (pow.f64 (cos.f64 (+.f64 b a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (neg.f64 (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 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simplify258.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

731×	`distribute-rgt-in_binary64`
722×	`distribute-lft-in_binary64`
484×	`times-frac_binary64`
424×	`associate-/l*_binary64`
226×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3182
1	755	3112
2	2671	3037

Stop Event

1×	node limit

Counts

227 → 189

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) b)
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) b) (.f64 1/2 (.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) b) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))) (sqrt.f64 (cos.f64 a)))) (.f64 -1/6 (sqrt.f64 (/.f64 1 (cos.f64 a))))) (pow.f64 b 3))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) b) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (.f64 -1/2 (.f64 (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2)))) (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (sqrt.f64 (cos.f64 a))))) (pow.f64 b 4)) (.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))) (sqrt.f64 (cos.f64 a)))) (*.f64 -1/6 (sqrt.f64 (/.f64 1 (cos.f64 a))))) (pow.f64 b 3)))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 b))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2))))) (sqrt.f64 (cos.f64 b)))) (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 b))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2)))) (cos.f64 b))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))))) (sqrt.f64 (cos.f64 b)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 (pow.f64 a 2) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2))))) (sqrt.f64 (cos.f64 b)))) (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 b)))))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))))
(.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) r)
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 a) (.f64 b r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) r))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 a) (.f64 b r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))) (.f64 (pow.f64 b 2) r)) (sqrt.f64 (cos.f64 a)))) (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) r)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2)))) (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (.f64 r (pow.f64 b 3))) (sqrt.f64 (cos.f64 a)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 a) (.f64 b r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))) (.f64 (pow.f64 b 2) r)) (sqrt.f64 (cos.f64 a)))) (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) r))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 a r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 a r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 a 2) (.f64 r (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2))))) (sqrt.f64 (cos.f64 b)))) (*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 a r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 a 2) (.f64 r (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2))))) (sqrt.f64 (cos.f64 b)))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2)))) (cos.f64 b))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))) r)) (sqrt.f64 (cos.f64 b)))) (*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b)))))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))))
(+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (*.f64 b r))))
(+.f64 (.f64 (/.f64 b (cos.f64 a)) r) (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (.f64 b b)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))) (/.f64 b (/.f64 (cos.f64 a) r))))
(+.f64 (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (.f64 b b)) (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (*.f64 (/.f64 b (cos.f64 a)) r)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 b (/.f64 (cos.f64 a) r)) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) -1/3)) (pow.f64 b 4))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))) (/.f64 b (/.f64 (cos.f64 a) r))) (.f64 (-.f64 (.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) -1/3) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 4))))
(-.f64 (+.f64 (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) (.f64 b b)) (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)) (.f64 (/.f64 b (cos.f64 a)) r))) (.f64 (-.f64 (.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) r) -1/3) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) r)))) (pow.f64 b 4)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
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(+.f64 (.f64 -1/2 (.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2)))) (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (.f64 r (pow.f64 b 3))) (sqrt.f64 (cos.f64 a)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 a) (.f64 b r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))) (.f64 (pow.f64 b 2) r)) (sqrt.f64 (cos.f64 a)))) (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 a))) r))))
(fma.f64 -1/2 (.f64 (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 1/2 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))))) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (.f64 (.f64 r (pow.f64 b 3)) (sqrt.f64 (cos.f64 a)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))) (.f64 (.f64 b r) (sin.f64 a))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))) (.f64 (.f64 r (.f64 b b)) (sqrt.f64 (cos.f64 a)))) (.f64 r (sqrt.f64 (/.f64 1 (cos.f64 a)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 (cos.f64 a)) (.f64 (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 1/2 (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (/.f64 1/2 (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2)))) (-.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))) (.f64 r (pow.f64 b 3)))) (fma.f64 1/2 (.f64 (.f64 b r) (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (fma.f64 r (sqrt.f64 (/.f64 1 (cos.f64 a))) (.f64 1/2 (.f64 (+.f64 (/.f64 1/2 (cos.f64 a)) (-.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)) (pow.f64 (.f64 1/2 (.f64 (sin.f64 a) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))))) 2))) (.f64 (.f64 b b) (*.f64 r (sqrt.f64 (cos.f64 a)))))))))
(fma.f64 -1/2 (.f64 (+.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (.f64 1/4 (.f64 (pow.f64 (sin.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (/.f64 1/2 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3)) (.f64 r (.f64 (pow.f64 b 3) (sqrt.f64 (cos.f64 a))))) (+.f64 (.f64 r (sqrt.f64 (/.f64 1 (cos.f64 a)))) (.f64 1/2 (.f64 r (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 a) 3))) (.f64 b (sin.f64 a))) (.f64 (sqrt.f64 (cos.f64 a)) (.f64 (.f64 b b) (+.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (.f64 1/4 (*.f64 (pow.f64 (sin.f64 a) 2) (/.f64 1 (pow.f64 (cos.f64 a) 3))))) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 a (.f64 -1 b))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 a r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) (.f64 (sin.f64 b) (.f64 r a))) (.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b)))))
(fma.f64 (.f64 1/2 (.f64 r (.f64 a (sin.f64 b)))) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) (.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b)))))
(fma.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) (.f64 1/2 (.f64 (sin.f64 b) (.f64 r a)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 a r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 a 2) (.f64 r (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2))))) (sqrt.f64 (cos.f64 b)))) (*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) (.f64 (sin.f64 b) (.f64 r a))) (fma.f64 1/2 (.f64 (sqrt.f64 (cos.f64 b)) (.f64 (.f64 a a) (.f64 r (-.f64 (/.f64 1/2 (cos.f64 b)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2)))))) (.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))))))
(fma.f64 1/2 (.f64 (.f64 r a) (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (fma.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))) (.f64 1/2 (.f64 (sqrt.f64 (cos.f64 b)) (.f64 (+.f64 (/.f64 1/2 (cos.f64 b)) (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (pow.f64 (.f64 (sin.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) 1/2)) 2))) (.f64 r (.f64 a a)))))))
(fma.f64 1/2 (.f64 (.f64 r a) (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (fma.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))) (.f64 (.f64 (+.f64 (/.f64 1/2 (cos.f64 b)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (.f64 (.f64 (pow.f64 (sin.f64 b) 2) (/.f64 1 (pow.f64 (cos.f64 b) 3))) -1/4))) (.f64 a (.f64 r a))) (.f64 (sqrt.f64 (cos.f64 b)) 1/2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 b) (.f64 a r)) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 a 2) (.f64 r (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2))))) (sqrt.f64 (cos.f64 b)))) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2)))) (cos.f64 b))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2))) (.f64 -1/2 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)))))) r)) (sqrt.f64 (cos.f64 b)))) (*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) (.f64 (sin.f64 b) (.f64 r a))) (fma.f64 1/2 (.f64 (sqrt.f64 (cos.f64 b)) (.f64 (.f64 a a) (.f64 r (-.f64 (/.f64 1/2 (cos.f64 b)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2)))))) (fma.f64 -1/2 (.f64 (pow.f64 a 3) (.f64 (.f64 r (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (-.f64 (/.f64 1/2 (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)))))) (fma.f64 1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (-.f64 (/.f64 1/2 (cos.f64 b)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (pow.f64 (.f64 1/2 (.f64 (sin.f64 b) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))))) 2))))) (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3)))) (sqrt.f64 (cos.f64 b)))) (.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b)))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 b)) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1/2 (cos.f64 b)) (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (pow.f64 (.f64 (sin.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) 1/2)) 2))) (.f64 r (.f64 a a)))) (.f64 (.f64 -1/2 (pow.f64 a 3)) (.f64 r (-.f64 (fma.f64 1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 1/2 (cos.f64 b)) (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (pow.f64 (.f64 (sin.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) 1/2)) 2)))) (.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3)) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))) (fma.f64 (.f64 1/2 (.f64 r (.f64 a (sin.f64 b)))) (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) (*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))))))
(+.f64 (.f64 (sqrt.f64 (cos.f64 b)) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1/2 (cos.f64 b)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (.f64 (.f64 (pow.f64 (sin.f64 b) 2) (/.f64 1 (pow.f64 (cos.f64 b) 3))) -1/4))) (.f64 a (.f64 r a)))) (.f64 (.f64 -1/2 (pow.f64 a 3)) (.f64 r (-.f64 (fma.f64 (/.f64 (sin.f64 b) (pow.f64 (cos.f64 b) 2)) -1/3 (.f64 (/.f64 (.f64 (sin.f64 b) 1/2) (cos.f64 b)) (+.f64 (/.f64 1/2 (cos.f64 b)) (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3)) (.f64 (.f64 (pow.f64 (sin.f64 b) 2) (/.f64 1 (pow.f64 (cos.f64 b) 3))) -1/4))))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (/.f64 1/2 (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 3))))))))) (fma.f64 r (sqrt.f64 (/.f64 1 (cos.f64 b))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cos.f64 b) 3))) (.f64 1/2 (.f64 (sin.f64 b) (*.f64 r a))))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 a b)))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))
(.f64 (sqrt.f64 (/.f64 1 (cos.f64 (-.f64 b (.f64 -1 a))))) r)
(*.f64 r (sqrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))))

eval607.0ms (3.9%)

Compiler: Compiled 26190 to 8479 computations (67.6% saved)

prune331.0ms (2.1%)

Pruning

74 alts after pruning (72 fresh and 2 done)

	Pruned	Kept	Total
New	981	58	1039
Fresh	24	14	38
Picked	1	0	1
Done	2	2	4
Total	1008	74	1082

Error

0.0b

Counts

1082 → 74

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(*.f64 (/.f64 r (cos.f64 a)) b)
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	31.6b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	31.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 b) b) 1) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
▶	16.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
	16.2b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	51.9b	(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	47.5b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 a))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
	16.9b	(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
	16.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))))
	31.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
	28.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
	43.6b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
	0.5b	(.f64 (/.f64 1 (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2))))) (*.f64 r (sin.f64 b)))
	26.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (*.f64 (sin.f64 b) (sin.f64 a))))
	36.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	22.8b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
	33.0b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
	32.5b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
	32.5b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
	29.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	16.9b	(.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (sin.f64 b)))
▶	0.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
	32.5b	(*.f64 (/.f64 b (cos.f64 a)) r)
	51.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
	48.1b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
	16.3b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
	37.5b	(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
	25.7b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
▶	16.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	27.5b	(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (*.f64 r (sin.f64 b)))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) 1) (*.f64 (sin.f64 b) (sin.f64 a))))
	27.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	30.8b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 r (sin.f64 b)))
	23.1b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
	25.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	0.4b	(.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
	25.0b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
	16.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	25.7b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	0.3b	(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	0.4b	(.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (*.f64 r (sin.f64 b)))
	25.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	25.7b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	26.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.4b	(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 r (sin.f64 b)))
	16.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (.f64 r (sin.f64 b)))
	32.8b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
▶	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
	52.2b	(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	32.6b	(/.f64 b (/.f64 (cos.f64 a) r))
	29.9b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.9b	(.f64 (/.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
	16.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
	32.5b	(/.f64 r (/.f64 (cos.f64 a) b))
	41.4b	(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
	31.1b	(.f64 (/.f64 1 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (*.f64 r (sin.f64 b)))
▶	42.0b	(*.f64 r b)
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
	16.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	16.5b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	32.5b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 (sin.f64 b) (sin.f64 a))))
	36.8b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))

Compiler

Compiled 2806 to 1768 computations (37% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 a) (cos.f64 b))
	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.2b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
✓	0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 65 to 12 computations (81.5% saved)

series22.0ms (0.1%)

Counts

3 → 68

Calls

21 calls:

Time	Variable		Point	Expression
11.0ms	a	@	-inf	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	0	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	a	@	0	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	inf	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	-inf	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`log-prod_binary64`
604×	`fma-def_binary64`
311×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	296	33
2	4356	33

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))

(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)

(*.f64 (cos.f64 a) (cos.f64 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (cbrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) 1) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 a) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 a) (cos.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1))))))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
497×	`times-frac_binary64`
450×	`associate-*l/_binary64`
443×	`associate-/l*_binary64`
369×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2278
1	562	2195
2	2093	2107

Stop Event

1×	node limit

Counts

153 → 133

Calls

Call 1

Inputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))

Outputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b)))))
(fma.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (fma.f64 -1 (.f64 (pow.f64 b 4) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b))))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (-.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b))) (.f64 (pow.f64 b 4) (-.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b b) (/.f64 b (cos.f64 a)))) (.f64 (pow.f64 b 4) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3 (*.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (.f64 a (.f64 a (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)))))
(+.f64 (-.f64 (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (.f64 a (.f64 a (-.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (fma.f64 (neg.f64 (pow.f64 a 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (-.f64 (.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))) (.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) -1/3))))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (sin.f64 a) (.f64 (*.f64 b b) r)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))))
(fma.f64 (/.f64 b (cos.f64 a)) r (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 (*.f64 b b) r)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (.f64 b b) r)) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b (.f64 b r))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) r) (pow.f64 (cos.f64 a) 3))) (.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (/.f64 b (cos.f64 a)) r (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 (*.f64 b b) r))))
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(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (cos.f64 b))
(.f64 (+.f64 (.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b))
(.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (fma.f64 1/24 (*.f64 (cos.f64 b) (pow.f64 a 4)) (cos.f64 b)))
(+.f64 (cos.f64 b) (.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (.f64 a a)) (.f64 1/24 (pow.f64 a 4)))))
(.f64 (cos.f64 b) (+.f64 (.f64 -1/2 (*.f64 a a)) (fma.f64 1/24 (pow.f64 a 4) 1)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1/720 (.f64 (cos.f64 b) (pow.f64 a 6)) (fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (fma.f64 1/24 (.f64 (cos.f64 b) (pow.f64 a 4)) (cos.f64 b))))
(+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 a 4)) 1) (cos.f64 b)) (.f64 (cos.f64 b) (+.f64 (.f64 -1/720 (pow.f64 a 6)) (.f64 -1/2 (.f64 a a)))))
(fma.f64 (cos.f64 b) (fma.f64 -1/720 (pow.f64 a 6) (.f64 -1/2 (.f64 a a))) (*.f64 (fma.f64 1/24 (pow.f64 a 4) 1) (cos.f64 b)))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b))))
(fma.f64 -1/2 (.f64 b (.f64 b (cos.f64 a))) (cos.f64 a))
(+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)))))
(fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (fma.f64 -1/2 (.f64 b (*.f64 b (cos.f64 a))) (cos.f64 a)))
(+.f64 (cos.f64 a) (.f64 (cos.f64 a) (+.f64 (.f64 -1/2 (.f64 b b)) (.f64 1/24 (pow.f64 b 4)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(fma.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6)) (fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b))))))
(fma.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6)) (fma.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4)) (fma.f64 -1/2 (.f64 b (.f64 b (cos.f64 a))) (cos.f64 a))))
(+.f64 (fma.f64 -1/2 (.f64 b (.f64 b (cos.f64 a))) (cos.f64 a)) (.f64 (cos.f64 a) (+.f64 (.f64 1/24 (pow.f64 b 4)) (*.f64 -1/720 (pow.f64 b 6)))))

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (+.f64 b a)) r)
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
	4.3b	(cos.f64 (+.f64 b a))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (cos.f64 (+.f64 b a)) r)
1.0ms	b	@	0	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
1.0ms	b	@	0	(/.f64 (cos.f64 (+.f64 b a)) r)
1.0ms	b	@	-inf	(/.f64 (cos.f64 (+.f64 b a)) r)
1.0ms	a	@	-inf	(/.f64 (cos.f64 (+.f64 b a)) r)

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
583×	`log-prod_binary64`
298×	`pow2_binary64`
208×	`fma-def_binary64`
207×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	23
2	3119	23

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (cos.f64 (+.f64 b a)) r)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 (+.f64 b a))) (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (cbrt.f64 (*.f64 r r))) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (*.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 r r))) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (cbrt.f64 (*.f64 r r))) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (*.f64 r r))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1))))))

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-r_binary64`
626×	`associate-l_binary64`
431×	`fma-def_binary64`
414×	`associate-/l*_binary64`
372×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1407
1	414	1360
2	1397	1327

Stop Event

1×	node limit

Counts

161 → 126

Calls

Call 1

Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)

Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 b (*.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b (.f64 b r)))) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (/.f64 r (/.f64 (cos.f64 a) b))))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 b (.f64 b r)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
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(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (neg.f64 (/.f64 (sin.f64 b) (/.f64 r a))))
(-.f64 (/.f64 (cos.f64 b) r) (/.f64 (sin.f64 b) (/.f64 r a)))
(-.f64 (/.f64 (cos.f64 b) r) (*.f64 a (/.f64 (sin.f64 b) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 r (cos.f64 b))) (neg.f64 (/.f64 (sin.f64 b) (/.f64 r a)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) r) (cos.f64 b)) (/.f64 (*.f64 (neg.f64 a) (sin.f64 b)) r)))
(-.f64 (fma.f64 -1/2 (/.f64 (cos.f64 b) (/.f64 (/.f64 r a) a)) (/.f64 (cos.f64 b) r)) (*.f64 a (/.f64 (sin.f64 b) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 r (cos.f64 b))) (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 r a)) (.f64 1/6 (/.f64 (sin.f64 b) (/.f64 r (pow.f64 a 3)))))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (.f64 (/.f64 (.f64 a a) r) (cos.f64 b)) (-.f64 (/.f64 1/6 (/.f64 r (*.f64 (sin.f64 b) (pow.f64 a 3)))) (/.f64 (sin.f64 b) (/.f64 r a)))))
(+.f64 (/.f64 (cos.f64 b) r) (-.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (/.f64 (sin.f64 b) r)) (.f64 -1/2 (/.f64 (cos.f64 b) (/.f64 (/.f64 r a) a)))) (*.f64 a (/.f64 (sin.f64 b) r))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 b a)) r)

localize153.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)
	4.3b	(cos.f64 (+.f64 b a))
✓	9.2b	(cbrt.f64 (*.f64 r (sin.f64 b)))

Compiler

Compiled 44 to 14 computations (68.2% saved)

series21.0ms (0.1%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	r	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
2.0ms	b	@	inf	(cbrt.f64 (*.f64 r (sin.f64 b)))
2.0ms	r	@	-inf	(pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)
2.0ms	b	@	-inf	(cbrt.f64 (*.f64 r (sin.f64 b)))
1.0ms	b	@	0	(pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
595×	`prod-diff_binary64`
325×	`pow2_binary64`
224×	`pow1/3_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	267	28
2	3370	28

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 r (sin.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 r (sin.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 r (sin.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 r) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) (pow.f64 (*.f64 r (sin.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 r (sin.f64 b)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 r (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 r (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 r) (*.f64 (cbrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 r) 2) (*.f64 (cbrt.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 r) (*.f64 (sqrt.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) (*.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) 1) (cbrt.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (cbrt.f64 r)) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (pow.f64 (*.f64 r (sin.f64 b)) 1/6)) (pow.f64 (*.f64 r (sin.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 r (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 r (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 r (sin.f64 b))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (*.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 2) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 1))))))

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

607×	`associate-r_binary64`
567×	`associate-l_binary64`
416×	`times-frac_binary64`
375×	`fma-def_binary64`
367×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1072
1	346	1008
2	1159	981
3	7466	970

Stop Event

1×	node limit

Counts

164 → 136

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))

Outputs
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(pow.f64 (*.f64 (sin.f64 b) r) 1/3)
(cbrt.f64 (*.f64 (sin.f64 b) r))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (.f64 r (sin.f64 a)) (*.f64 b b)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (.f64 (/.f64 r (cos.f64 a)) b) (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 r (.f64 b b))))
(fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 r (*.f64 b b)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (.f64 r (sin.f64 a)) (.f64 b b)) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 r (.f64 b b))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))) (.f64 (/.f64 r (cos.f64 a)) b)))
(fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 r (.f64 b b)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(+.f64 (+.f64 (/.f64 r (/.f64 (cos.f64 a) b)) (/.f64 (.f64 (.f64 r (sin.f64 a)) (.f64 b b)) (pow.f64 (cos.f64 a) 2))) (fma.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))) (.f64 (/.f64 (.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) 2)) -1/3)) (pow.f64 b 4)))))
(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 r (.f64 b b))) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (-.f64 (/.f64 (.f64 (sin.f64 a) -1/3) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 4))))
(-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (.f64 r (.f64 b b)) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (.f64 (-.f64 (/.f64 (sin.f64 a) (/.f64 (/.f64 (pow.f64 (cos.f64 a) 2) r) -1/3)) (.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (/.f64 (sin.f64 a) (cos.f64 a)))) (pow.f64 b 4)))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 r (.f64 b b)) (fma.f64 (pow.f64 b 4) (+.f64 (.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (/.f64 (sin.f64 a) (cos.f64 a))) (.f64 1/3 (.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 r (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))) (/.f64 r (/.f64 (cos.f64 a) b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (*.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a)) (.f64 a (.f64 a (fma.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r)))))))
(fma.f64 (.f64 a a) (neg.f64 (fma.f64 -1/2 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 (.f64 a a) (neg.f64 (fma.f64 -1/2 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3) (neg.f64 r)))) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (*.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 r a)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a)) (-.f64 (-.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (.f64 a (.f64 a (fma.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r)))))) (.f64 (pow.f64 a 3) (fma.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) r) -1/3 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (-.f64 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (.f64 (.f64 a a) (+.f64 (.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r -1/3)))) (fma.f64 -1/2 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r)))))))
(-.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (.f64 (.f64 r a) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)))) (.f64 (.f64 a a) (+.f64 (.f64 a (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1/2 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3) (neg.f64 r))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r -1/3)))) (fma.f64 -1/2 (.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3) (neg.f64 r))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
✓	0.3b	(log1p.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))
✓	0.5b	(expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))

Compiler

Compiled 72 to 14 computations (80.6% saved)

series52.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
36.0ms	b	@	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
2.0ms	b	@	0	(expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))
2.0ms	a	@	0	(expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))
1.0ms	a	@	0	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
1.0ms	b	@	inf	(expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log-prod_binary64`
443×	`fma-def_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
253×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	307	32
2	4428	32

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))

(log1p.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))

(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 2) (cbrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) (sqrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) 3) 1) (fma.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) -1) (+.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))) (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 b) (cos.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 b) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 a) (cos.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 b)) 2) (*.f64 (cbrt.f64 (cos.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 a) 2)) (*.f64 (cbrt.f64 (cos.f64 a)) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 b)) (*.f64 (sqrt.f64 (cos.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 a)) (*.f64 (sqrt.f64 (cos.f64 a)) (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 b) (cbrt.f64 (pow.f64 (cos.f64 a) 2))) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2) (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (*.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (*.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r 1) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 1) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 r (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 1))))))

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-neg_binary64`
365×	`*-commutative_binary64`
356×	`times-frac_binary64`
333×	`associate-+l+_binary64`
314×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2096
1	534	2024
2	1888	1985
3	7310	1977

Stop Event

1×	node limit

Counts

193 → 159

Calls

Call 1

Inputs
(-.f64 (exp.f64 (cos.f64 a)) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 (pow.f64 b 2) (exp.f64 (cos.f64 a)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/24 (cos.f64 a)) (.f64 1/8 (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 4) (exp.f64 (cos.f64 a)))) (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 (pow.f64 b 2) (exp.f64 (cos.f64 a))))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/24 (cos.f64 a)) (.f64 1/8 (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 4) (exp.f64 (cos.f64 a)))) (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (cos.f64 a) 3)) (+.f64 (.f64 -1/720 (cos.f64 a)) (.f64 -1/48 (pow.f64 (cos.f64 a) 2)))) (.f64 (pow.f64 b 6) (exp.f64 (cos.f64 a)))) (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) (exp.f64 (cos.f64 a)))))))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (cos.f64 b)) 1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) (exp.f64 (cos.f64 b))))) (exp.f64 (cos.f64 b))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 1/8 (pow.f64 (cos.f64 b) 2)) (.f64 1/24 (cos.f64 b))) (exp.f64 (cos.f64 b)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) (exp.f64 (cos.f64 b))))) (exp.f64 (cos.f64 b)))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 a 6) (.f64 (+.f64 (.f64 -1/720 (cos.f64 b)) (+.f64 (.f64 -1/48 (pow.f64 (cos.f64 b) 2)) (.f64 -1/48 (pow.f64 (cos.f64 b) 3)))) (exp.f64 (cos.f64 b)))) (+.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 1/8 (pow.f64 (cos.f64 b) 2)) (.f64 1/24 (cos.f64 b))) (exp.f64 (cos.f64 b)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (.f64 (cos.f64 b) (exp.f64 (cos.f64 b))))) (exp.f64 (cos.f64 b))))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))
(+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 a) (pow.f64 b 6))) (+.f64 (.f64 1/24 (.f64 (cos.f64 a) (pow.f64 b 4))) (+.f64 (cos.f64 a) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 a 6) (cos.f64 b))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (cos.f64 b))) (cos.f64 b))))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 a) (cos.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

Outputs
(-.f64 (exp.f64 (cos.f64 a)) 1)
(expm1.f64 (cos.f64 a))
(-.f64 (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 (pow.f64 b 2) (exp.f64 (cos.f64 a)))))) 1)
(+.f64 (exp.f64 (cos.f64 a)) (-.f64 (.f64 -1/2 (.f64 (cos.f64 a) (.f64 (exp.f64 (cos.f64 a)) (.f64 b b)))) 1))
(+.f64 (.f64 (cos.f64 a) (.f64 (.f64 (exp.f64 (cos.f64 a)) (.f64 b b)) -1/2)) (expm1.f64 (cos.f64 a)))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 a) (.f64 -1/2 (.f64 b b))) 1) (exp.f64 (cos.f64 a))) -1)
(fma.f64 (+.f64 (.f64 (cos.f64 a) (.f64 -1/2 (*.f64 b b))) 1) (exp.f64 (cos.f64 a)) -1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/24 (cos.f64 a)) (.f64 1/8 (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 4) (exp.f64 (cos.f64 a)))) (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 (pow.f64 b 2) (exp.f64 (cos.f64 a))))))) 1)
(+.f64 (fma.f64 (fma.f64 1/24 (cos.f64 a) (.f64 1/8 (pow.f64 (cos.f64 a) 2))) (.f64 (exp.f64 (cos.f64 a)) (pow.f64 b 4)) (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 (exp.f64 (cos.f64 a)) (.f64 b b)))))) -1)
(+.f64 (.f64 (+.f64 (.f64 (fma.f64 1/8 (pow.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) 1/24)) (pow.f64 b 4)) 1) (exp.f64 (cos.f64 a))) (fma.f64 -1/2 (.f64 (exp.f64 (cos.f64 a)) (.f64 (cos.f64 a) (.f64 b b))) -1))
(+.f64 (.f64 (exp.f64 (cos.f64 a)) (+.f64 (.f64 (cos.f64 a) (.f64 -1/2 (.f64 b b))) (+.f64 1 (.f64 (.f64 (cos.f64 a) (+.f64 1/24 (*.f64 (cos.f64 a) 1/8))) (pow.f64 b 4))))) -1)
(fma.f64 (exp.f64 (cos.f64 a)) (+.f64 (.f64 (cos.f64 a) (.f64 -1/2 (.f64 b b))) (+.f64 1 (.f64 (.f64 (cos.f64 a) (+.f64 1/24 (.f64 (cos.f64 a) 1/8))) (pow.f64 b 4)))) -1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/24 (cos.f64 a)) (.f64 1/8 (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 4) (exp.f64 (cos.f64 a)))) (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (cos.f64 a) 3)) (+.f64 (.f64 -1/720 (cos.f64 a)) (.f64 -1/48 (pow.f64 (cos.f64 a) 2)))) (.f64 (pow.f64 b 6) (exp.f64 (cos.f64 a)))) (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 (pow.f64 b 2) (exp.f64 (cos.f64 a)))))))) 1)
(+.f64 (fma.f64 (fma.f64 1/24 (cos.f64 a) (.f64 1/8 (pow.f64 (cos.f64 a) 2))) (.f64 (exp.f64 (cos.f64 a)) (pow.f64 b 4)) (fma.f64 (fma.f64 -1/48 (pow.f64 (cos.f64 a) 3) (fma.f64 -1/720 (cos.f64 a) (.f64 (pow.f64 (cos.f64 a) 2) -1/48))) (.f64 (exp.f64 (cos.f64 a)) (pow.f64 b 6)) (+.f64 (exp.f64 (cos.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 (exp.f64 (cos.f64 a)) (.f64 b b))))))) -1)
(+.f64 (.f64 (exp.f64 (cos.f64 a)) (+.f64 (.f64 (fma.f64 1/8 (pow.f64 (cos.f64 a) 2) (.f64 (cos.f64 a) 1/24)) (pow.f64 b 4)) (.f64 (fma.f64 -1/48 (pow.f64 (cos.f64 a) 3) (fma.f64 (pow.f64 (cos.f64 a) 2) -1/48 (.f64 (cos.f64 a) -1/720))) (pow.f64 b 6)))) (+.f64 (.f64 (cos.f64 a) (.f64 (.f64 (exp.f64 (cos.f64 a)) (*.f64 b b)) -1/2)) (expm1.f64 (cos.f64 a))))
(+.f64 (.f64 (exp.f64 (cos.f64 a)) (+.f64 (.f64 (cos.f64 a) (.f64 -1/2 (.f64 b b))) (+.f64 1 (.f64 (.f64 (cos.f64 a) (+.f64 1/24 (.f64 (cos.f64 a) 1/8))) (pow.f64 b 4))))) (fma.f64 (fma.f64 -1/48 (pow.f64 (cos.f64 a) 3) (.f64 (cos.f64 a) (+.f64 -1/720 (.f64 (cos.f64 a) -1/48)))) (.f64 (exp.f64 (cos.f64 a)) (pow.f64 b 6)) -1))
(fma.f64 (.f64 (cos.f64 a) (+.f64 1/24 (.f64 (cos.f64 a) 1/8))) (.f64 (exp.f64 (cos.f64 a)) (pow.f64 b 4)) (fma.f64 (exp.f64 (cos.f64 a)) (+.f64 (.f64 (cos.f64 a) (.f64 -1/2 (.f64 b b))) (+.f64 1 (.f64 (fma.f64 -1/48 (pow.f64 (cos.f64 a) 3) (.f64 (cos.f64 a) (+.f64 -1/720 (*.f64 (cos.f64 a) -1/48)))) (pow.f64 b 6)))) -1))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (*.f64 (cos.f64 a) (cos.f64 b))) 1)
(expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (exp.f64 (cos.f64 b)) 1)
(expm1.f64 (cos.f64 b))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) (exp.f64 (cos.f64 b))))) (exp.f64 (cos.f64 b))) 1)
(+.f64 (.f64 -1/2 (.f64 (.f64 a a) (.f64 (cos.f64 b) (exp.f64 (cos.f64 b))))) (expm1.f64 (cos.f64 b)))
(fma.f64 (.f64 -1/2 (.f64 a a)) (*.f64 (cos.f64 b) (exp.f64 (cos.f64 b))) (expm1.f64 (cos.f64 b)))
(fma.f64 -1/2 (.f64 (exp.f64 (cos.f64 b)) (.f64 (cos.f64 b) (*.f64 a a))) (expm1.f64 (cos.f64 b)))
(fma.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 b) (*.f64 a a))) 1) (exp.f64 (cos.f64 b)) -1)
(-.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 1/8 (pow.f64 (cos.f64 b) 2)) (.f64 1/24 (cos.f64 b))) (exp.f64 (cos.f64 b)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (*.f64 (cos.f64 b) (exp.f64 (cos.f64 b))))) (exp.f64 (cos.f64 b)))) 1)
(+.f64 (fma.f64 (pow.f64 a 4) (.f64 (exp.f64 (cos.f64 b)) (fma.f64 1/8 (pow.f64 (cos.f64 b) 2) (.f64 1/24 (cos.f64 b)))) (fma.f64 -1/2 (.f64 (.f64 a a) (*.f64 (cos.f64 b) (exp.f64 (cos.f64 b)))) (exp.f64 (cos.f64 b)))) -1)
(fma.f64 (pow.f64 a 4) (.f64 (exp.f64 (cos.f64 b)) (fma.f64 1/24 (cos.f64 b) (.f64 1/8 (pow.f64 (cos.f64 b) 2)))) (fma.f64 (.f64 -1/2 (.f64 a a)) (*.f64 (cos.f64 b) (exp.f64 (cos.f64 b))) (expm1.f64 (cos.f64 b))))
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(+.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 (.f64 b b) r)) (-.f64 (fma.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (pow.f64 b 4) (-.f64 (.f64 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) -1/3) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (/.f64 (pow.f64 (cos.f64 a) 3) r))))))))
(-.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (.f64 b (/.f64 r (cos.f64 a)))) (-.f64 (.f64 (pow.f64 b 4) (-.f64 (/.f64 (.f64 (.f64 r (sin.f64 a)) -1/3) (pow.f64 (cos.f64 a) 2)) (.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r))) (/.f64 (sin.f64 a) (cos.f64 a))))) (.f64 (.f64 (.f64 b b) r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 a r)))
(+.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r)) (.f64 (.f64 a a) (-.f64 (.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))
(+.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (-.f64 (.f64 (.f64 a r) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 (.f64 a a) (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))))))
(-.f64 (.f64 (.f64 a r) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (fma.f64 (.f64 a a) (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (neg.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3))) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (.f64 r (pow.f64 (sin.f64 b) 3)) (pow.f64 (cos.f64 b) 3)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 a r)) (-.f64 (-.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (.f64 (.f64 a a) (-.f64 (.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r))))) (.f64 (pow.f64 a 3) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) r)) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 -1/2 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)) (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r))))))))
(+.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (-.f64 (.f64 (.f64 a r) (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 (.f64 a a) (+.f64 (.f64 a (fma.f64 (.f64 (/.f64 r (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) -1/3 (.f64 (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r)))))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) r))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))

eval400.0ms (2.6%)

Compiler: Compiled 18492 to 5845 computations (68.4% saved)

prune470.0ms (3%)

Pruning

78 alts after pruning (73 fresh and 5 done)

	Pruned	Kept	Total
New	762	34	796
Fresh	28	39	67
Picked	0	1	1
Done	2	4	6
Total	792	78	870

Error

0.0b

Counts

870 → 78

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(*.f64 (/.f64 r (cos.f64 a)) b)
	31.6b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
	31.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 b) b) 1) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	16.2b	(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
	51.9b	(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
	16.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
	47.5b	(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 a))
	16.3b	(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
	25.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	16.2b	(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
	43.6b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
	36.8b	(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
	22.8b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
▶	52.7b	(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	33.0b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	28.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
	32.5b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
	32.5b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
	23.1b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
	29.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	16.9b	(.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (sin.f64 b)))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
✓	0.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
▶	32.5b	(*.f64 (/.f64 b (cos.f64 a)) r)
▶	51.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) r))
	16.3b	(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
▶	17.0b	(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 (+.f64 b a)))
	25.0b	(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)
	48.1b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
	30.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
	36.8b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	25.7b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (.f64 (cos.f64 b) (cbrt.f64 (pow.f64 (cos.f64 a) 2))) (cbrt.f64 (cos.f64 a))) (.f64 (sin.f64 b) (sin.f64 a))))
	37.0b	(/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 r (sin.f64 b))) 1/3)) 3) (cos.f64 (+.f64 b a)))
	37.1b	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3) (cos.f64 (+.f64 b a)))
	27.5b	(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (*.f64 r (sin.f64 b)))
	29.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	30.8b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 r (sin.f64 b)))
	0.9b	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) r))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) 1) (*.f64 (sin.f64 b) (sin.f64 a))))
	27.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	16.9b	(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
	25.0b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
	16.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	25.7b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	31.2b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
	25.7b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	0.4b	(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 r (sin.f64 b)))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))))
	32.8b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
✓	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
	40.1b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	52.2b	(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	32.6b	(/.f64 b (/.f64 (cos.f64 a) r))
	29.9b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
	32.5b	(/.f64 r (/.f64 (cos.f64 a) b))
	25.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	16.8b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
	28.7b	(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))) r)
	26.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (*.f64 (sin.f64 b) (sin.f64 a))))
	37.1b	(/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) 2) 3) (cos.f64 (+.f64 b a)))
	41.4b	(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
	0.4b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))) r)
	0.4b	(/.f64 (sin.f64 b) (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) r)))
▶	0.3b	(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)
	31.1b	(.f64 (/.f64 1 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (*.f64 r (sin.f64 b)))
✓	42.0b	(*.f64 r b)
	26.2b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
	16.5b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	32.5b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))

Compiler

Compiled 2514 to 1678 computations (33.3% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 a) (cos.f64 b))
✓	0.1b	(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
✓	0.2b	(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)
✓	0.2b	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))

Compiler

Compiled 63 to 12 computations (81% saved)

series30.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	r	@	inf	(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)
2.0ms	b	@	inf	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
2.0ms	a	@	-inf	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
2.0ms	a	@	inf	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))
2.0ms	b	@	-inf	(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))

rewrite208.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
669×	`prod-diff_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`
226×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	272	31
2	3661	31

Stop Event

1×	node limit

Counts

3 → 224

Calls

Call 1

Inputs

(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))

(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) r)

(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 1))))))

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((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 a) (cos.f64 (neg.f64 b))) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 -1 b))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 a) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b)))) (*.f64 (sin.f64 a) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (fma.f64 (neg.f64 b) 1 b))) (*.f64 (sin.f64 (-.f64 a b)) (sin.f64 (fma.f64 (neg.f64 b) 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))) (*.f64 (sin.f64 (-.f64 a b)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))) (*.f64 (sin.f64 (-.f64 a b)) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 2)) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 b)) (cos.f64 a)) (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b)))) (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 a) (cos.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 b a))) 1))))))

simplify220.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-def_binary64`
497×	`times-frac_binary64`
452×	`associate-/l*_binary64`
437×	`associate-*l/_binary64`
359×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2607
1	565	2465
2	2089	2378

Stop Event

1×	node limit

Counts

308 → 274

Calls

Call 1

Inputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (.f64 (sin.f64 a) (.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (.f64 r b) (cos.f64 a)) (+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))

Outputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b)))))
(fma.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 b 4) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (.f64 1/6 (/.f64 1 (cos.f64 a))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (fma.f64 -1 (.f64 (pow.f64 b 4) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b))))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (-.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 b b))) (.f64 (pow.f64 b 4) (-.f64 (.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (.f64 b b) (/.f64 b (cos.f64 a)))) (.f64 (pow.f64 b 4) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3 (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (neg.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (.f64 (.f64 a a) (-.f64 (/.f64 (*.f64 -1/2 (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) a)))))
(+.f64 (-.f64 (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 2) (pow.f64 (sin.f64 b) 2))) (.f64 (.f64 a a) (-.f64 (/.f64 (.f64 -1/2 (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (fma.f64 (neg.f64 (pow.f64 a 3)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) -1/3 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 (*.f64 -1/2 (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (sin.f64 b) (cos.f64 b))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (-.f64 (.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))) (.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (/.f64 (.f64 -1/3 (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
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(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(/.f64 (.f64 (sin.f64 b) r) (+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (.f64 (sin.f64 b) r) (fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 r (/.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))) (sin.f64 b))
(cos.f64 a)
(+.f64 (cos.f64 a) (.f64 -1 (.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 b) (cos.f64 a))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (fma.f64 -1 (.f64 b (sin.f64 a)) (.f64 -1/2 (.f64 (cos.f64 a) (.f64 b b)))))
(+.f64 (cos.f64 a) (fma.f64 -1/2 (.f64 b (.f64 b (cos.f64 a))) (*.f64 (sin.f64 a) (neg.f64 b))))
(+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (.f64 -1 (.f64 (sin.f64 a) b)) (+.f64 (.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3))) (.f64 -1/2 (.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (fma.f64 -1 (.f64 b (sin.f64 a)) (fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (.f64 -1/2 (.f64 (cos.f64 a) (*.f64 b b))))))
(+.f64 (-.f64 (cos.f64 a) (.f64 b (sin.f64 a))) (fma.f64 1/6 (.f64 (sin.f64 a) (pow.f64 b 3)) (.f64 (cos.f64 a) (.f64 (*.f64 b b) -1/2))))
(+.f64 (cos.f64 a) (fma.f64 (.f64 b b) (.f64 (cos.f64 a) -1/2) (.f64 (sin.f64 a) (+.f64 (neg.f64 b) (.f64 1/6 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 b)
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (cos.f64 b))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 a) (cos.f64 b))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1 (.f64 a (sin.f64 b)) (fma.f64 -1/2 (.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b)))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b)) (.f64 a (sin.f64 b)))
(fma.f64 a (neg.f64 (sin.f64 b)) (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 b) a)) (+.f64 (.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1 (.f64 a (sin.f64 b)) (fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (.f64 (cos.f64 b) (.f64 a a)) (cos.f64 b))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 b) (pow.f64 a 3)) (.f64 (+.f64 (.f64 -1/2 (.f64 a a)) 1) (cos.f64 b))) (*.f64 a (sin.f64 b)))
(fma.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b) (.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (.f64 -1 (.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (.f64 (sin.f64 a) (sin.f64 b)) (.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 b (cos.f64 a)) r)
✓	0.1b	(/.f64 b (cos.f64 a))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series88.0ms (0.6%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
74.0ms	a	@	0	(*.f64 (/.f64 b (cos.f64 a)) r)
2.0ms	a	@	inf	(*.f64 (/.f64 b (cos.f64 a)) r)
1.0ms	a	@	0	(/.f64 b (cos.f64 a))
1.0ms	r	@	0	(*.f64 (/.f64 b (cos.f64 a)) r)
1.0ms	b	@	0	(*.f64 (/.f64 b (cos.f64 a)) r)

rewrite124.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`pow1_binary64`
715×	`add-log-exp_binary64`
715×	`log1p-expm1-u_binary64`
715×	`expm1-log1p-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1899	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 b (cos.f64 a))
(*.f64 (/.f64 b (cos.f64 a)) r)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) (pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 2) (cbrt.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) (sqrt.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 b (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 a))) (/.f64 b (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (cos.f64 a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (cos.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (cos.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (cos.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 a) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (cos.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (cos.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 b (cos.f64 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 b (cos.f64 a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (cos.f64 a) r))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 a) (*.f64 b r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b r) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 b r)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b r) 1) (cos.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b r) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 b r) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) r) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (neg.f64 b)) (neg.f64 (cos.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 b (cos.f64 a)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (/.f64 b (cos.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 b (cos.f64 a)) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 b (cos.f64 a)) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (/.f64 b (cos.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 b (cos.f64 a)) r)))))))

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

666×	`distribute-rgt-in_binary64`
630×	`distribute-lft-in_binary64`
544×	`fma-def_binary64`
525×	`distribute-lft-neg-in_binary64`
523×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	513
1	208	475
2	826	452
3	4100	442

Stop Event

1×	node limit

Counts

94 → 70

Calls

Call 1

Inputs
b
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) b)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 b) (.f64 -1/4 b)))) b))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 b) (.f64 -1/4 b)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 b) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 b) (.f64 -1/4 b))) (*.f64 -1/720 b))))) b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b r) (cos.f64 a))
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 (*.f64 r b) (cos.f64 a))

Outputs
b
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) b)
(fma.f64 1/2 (.f64 b (.f64 a a)) b)
(.f64 b (fma.f64 1/2 (.f64 a a) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 b) (.f64 -1/4 b)))) b))
(fma.f64 1/2 (.f64 b (.f64 a a)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 b -5/24)) b))
(fma.f64 1/2 (.f64 b (.f64 a a)) (-.f64 b (.f64 (pow.f64 a 4) (.f64 b -5/24))))
(fma.f64 b (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 4) (*.f64 b 5/24) b))
(.f64 b (-.f64 (fma.f64 1/2 (.f64 a a) 1) (*.f64 (pow.f64 a 4) -5/24)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 1/24 b) (.f64 -1/4 b)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 b) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 b) (.f64 -1/4 b))) (*.f64 -1/720 b))))) b)))
(fma.f64 1/2 (.f64 b (.f64 a a)) (fma.f64 -1 (.f64 (pow.f64 a 4) (.f64 b -5/24)) (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 1/48 b (fma.f64 1/2 (.f64 b -5/24) (*.f64 b -1/720)))) b)))
(fma.f64 1/2 (.f64 b (.f64 a a)) (-.f64 (-.f64 b (.f64 (pow.f64 a 6) (fma.f64 b 1/48 (fma.f64 b -1/720 (.f64 b -5/48))))) (.f64 (pow.f64 a 4) (.f64 b -5/24))))
(-.f64 (fma.f64 b (.f64 1/2 (.f64 a a)) (fma.f64 (pow.f64 a 4) (.f64 b 5/24) b)) (.f64 (pow.f64 a 6) (fma.f64 b 1/48 (*.f64 b -19/180))))
(-.f64 (.f64 b (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24))) (.f64 (pow.f64 a 6) (fma.f64 b 1/48 (*.f64 b -19/180))))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(*.f64 b r)
(+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r))))
(fma.f64 b r (.f64 1/2 (.f64 (.f64 a a) (.f64 b r))))
(.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r))
(.f64 (.f64 b (fma.f64 1/2 (*.f64 a a) 1)) r)
(.f64 b (.f64 (fma.f64 1/2 (*.f64 a a) 1) r))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (.f64 b r)))))
(fma.f64 -1 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 b r) (.f64 1/24 (.f64 b r)))) (fma.f64 b r (.f64 1/2 (.f64 (.f64 a a) (.f64 b r)))))
(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r)) (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) -5/24)))
(fma.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 b r) (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) 5/24)))
(.f64 (.f64 b r) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 4) (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 6) (+.f64 (.f64 1/48 (.f64 r b)) (+.f64 (.f64 -1/720 (.f64 b r)) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 r b)) (.f64 1/24 (.f64 b r)))))))) (+.f64 (.f64 b r) (.f64 1/2 (.f64 (pow.f64 a 2) (*.f64 b r))))))
(fma.f64 -1 (.f64 (pow.f64 a 4) (fma.f64 -1/4 (.f64 b r) (.f64 1/24 (.f64 b r)))) (fma.f64 -1 (.f64 (pow.f64 a 6) (fma.f64 1/48 (.f64 b r) (fma.f64 -1/720 (.f64 b r) (.f64 1/2 (fma.f64 -1/4 (.f64 b r) (.f64 1/24 (.f64 b r))))))) (fma.f64 b r (.f64 1/2 (.f64 (.f64 a a) (*.f64 b r))))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 a a)) 1) (.f64 b r)) (.f64 (pow.f64 a 6) (+.f64 (.f64 1/2 (.f64 (.f64 b r) -5/24)) (.f64 (.f64 b r) 7/360)))) (.f64 (pow.f64 a 4) (.f64 (*.f64 b r) -5/24)))
(fma.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 b r) (fma.f64 (pow.f64 a 4) (.f64 (.f64 b r) 5/24) (.f64 (pow.f64 a 6) (neg.f64 (fma.f64 b (.f64 1/48 r) (.f64 (.f64 b r) -19/180))))))
(-.f64 (.f64 (.f64 b r) (-.f64 (fma.f64 1/2 (.f64 a a) 1) (.f64 (pow.f64 a 4) -5/24))) (.f64 (pow.f64 a 6) (fma.f64 (.f64 b r) 7/360 (.f64 b (.f64 r -5/48)))))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 r (/.f64 b (cos.f64 a)))

localize149.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
✓	0.3b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
	4.3b	(cos.f64 (+.f64 b a))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series20.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))
2.0ms	b	@	0	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
2.0ms	a	@	0	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
1.0ms	b	@	inf	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
1.0ms	b	@	-inf	(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
591×	`log-prod_binary64`
295×	`pow2_binary64`
216×	`fma-def_binary64`
205×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	229	23
2	3551	23

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))) (/.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (cos.f64 (+.f64 b a))) (/.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (sin.f64 b) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) -1) r)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (neg.f64 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (*.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 r) 2)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 r)) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 r)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) -1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) -1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1))))))

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

539×	`associate-r_binary64`
470×	`associate-l_binary64`
423×	`associate-/l*_binary64`
405×	`times-frac_binary64`
355×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1550
1	439	1497
2	1373	1453
3	7483	1444

Stop Event

1×	node limit

Counts

174 → 142

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 r b) (cos.f64 a)))
(+.f64 (.f64 -1 (/.f64 (.f64 r b) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 -1 (/.f64 (.f64 r b) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 -1 (/.f64 (.f64 r b) (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 b) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (.f64 1/6 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))) (pow.f64 a 3)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a)))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 -1 (/.f64 (cos.f64 a) r))
(+.f64 (.f64 -1 (/.f64 (cos.f64 a) r)) (/.f64 (.f64 (sin.f64 a) b) r))
(+.f64 (.f64 -1 (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) r) (.f64 1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (.f64 -1 (/.f64 (cos.f64 a) r)) (+.f64 (/.f64 (.f64 (sin.f64 a) b) r) (.f64 1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 a (.f64 -1 b))) r))
(*.f64 -1 (/.f64 (cos.f64 b) r))
(+.f64 (.f64 -1 (/.f64 (cos.f64 b) r)) (/.f64 (.f64 (sin.f64 b) a) r))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (cos.f64 b) r)) (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)) (/.f64 (.f64 (sin.f64 b) a) r))))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(.f64 -1 (/.f64 (cos.f64 (-.f64 b (.f64 -1 a))) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))

Outputs
(.f64 -1 (/.f64 (.f64 r b) (cos.f64 a)))
(neg.f64 (/.f64 r (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 (neg.f64 b) r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(+.f64 (.f64 -1 (/.f64 (.f64 r b) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))))
(fma.f64 -1 (/.f64 r (/.f64 (cos.f64 a) b)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b))))))
(-.f64 (/.f64 (.f64 (neg.f64 b) r) (cos.f64 a)) (/.f64 (.f64 r (.f64 (sin.f64 a) (.f64 b b))) (pow.f64 (cos.f64 a) 2)))
(neg.f64 (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 b b))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 -1 (/.f64 (.f64 r b) (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)))))
(fma.f64 -1 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))))) (fma.f64 -1 (/.f64 r (/.f64 (cos.f64 a) b)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))))))
(-.f64 (-.f64 (/.f64 (.f64 (neg.f64 b) r) (cos.f64 a)) (/.f64 (.f64 r (.f64 (sin.f64 a) (.f64 b b))) (pow.f64 (cos.f64 a) 2))) (.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (*.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3)))))
(neg.f64 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (*.f64 b b)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))) (+.f64 (.f64 -1 (/.f64 (.f64 r b) (cos.f64 a))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (.f64 -1/2 (/.f64 r (cos.f64 a))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4)))))
(fma.f64 -1 (.f64 (pow.f64 b 3) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))))) (fma.f64 -1 (/.f64 r (/.f64 (cos.f64 a) b)) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (.f64 r (.f64 b b)))) (.f64 (fma.f64 1/6 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (fma.f64 -1 (/.f64 (.f64 (sin.f64 a) (-.f64 (.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1/2 (/.f64 r (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)))))) (cos.f64 a)) (.f64 -1/2 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r))))) (pow.f64 b 4)))))
(-.f64 (-.f64 (fma.f64 (fma.f64 1/6 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (fma.f64 -1/2 (/.f64 r (/.f64 (pow.f64 (cos.f64 a) 2) (sin.f64 a))) (/.f64 (neg.f64 (.f64 (sin.f64 a) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3))))) (cos.f64 a)))) (pow.f64 b 4) (/.f64 (neg.f64 (.f64 r (.f64 (sin.f64 a) (.f64 b b)))) (pow.f64 (cos.f64 a) 2))) (.f64 (/.f64 r (cos.f64 a)) b)) (.f64 (pow.f64 b 3) (-.f64 (.f64 (/.f64 r (cos.f64 a)) 1/3) (/.f64 (neg.f64 (.f64 r (pow.f64 (sin.f64 a) 2))) (pow.f64 (cos.f64 a) 3)))))
(fma.f64 -1 (fma.f64 (pow.f64 b 3) (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (fma.f64 (/.f64 r (cos.f64 a)) b (.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (.f64 b b)))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) -1/3) (.f64 (fma.f64 (/.f64 r (cos.f64 a)) 1/3 (*.f64 (/.f64 r (pow.f64 (cos.f64 a) 3)) (pow.f64 (sin.f64 a) 2))) (/.f64 (sin.f64 a) (cos.f64 a)))) (pow.f64 b 4)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b)))))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))
(neg.f64 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))
(/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 b) r))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(-.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a)))
(neg.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (.f64 -1/2 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 b) 2) (.f64 a r)) (pow.f64 (cos.f64 b) 2))) (.f64 -1 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)))))
(fma.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (/.f64 (pow.f64 (cos.f64 b) 3) r)) (.f64 -1/2 (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))) (.f64 a a) (.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) (.f64 r a))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r)))))
(-.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (/.f64 (neg.f64 (pow.f64 (sin.f64 b) 3)) (/.f64 (pow.f64 (cos.f64 b) 3) r))) (.f64 a a)) (.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a))) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r))
(-.f64 (.f64 (fma.f64 -1/2 (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)) (neg.f64 r))) (.f64 a a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (.f64 r a) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
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(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)
(*.f64 -1 (/.f64 (cos.f64 (+.f64 a b)) r))
(neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (cos.f64 (+.f64 b a))) r)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
	0.2b	(/.f64 (cos.f64 (+.f64 b a)) r)
✓	3.3b	(log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
	4.3b	(cos.f64 (+.f64 b a))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series18.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
2.0ms	a	@	0	(exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
1.0ms	r	@	inf	(exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
1.0ms	r	@	-inf	(exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))
1.0ms	b	@	-inf	(exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`unpow-prod-down_binary64`
548×	`prod-diff_binary64`
453×	`log-prod_binary64`
255×	`pow2_binary64`
211×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	183	20
2	2522	20

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 (cos.f64 (+.f64 b a)) r)) (*.f64 2 (*.f64 1/3 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (/.f64 (cos.f64 (+.f64 b a)) r))) (*.f64 1/3 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 b a)) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (*.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (pow.f64 (*.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 1 (neg.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 r) (pow.f64 (/.f64 1 (cos.f64 (+.f64 b a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change 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*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 r) -2) 1) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (pow.f64 (cbrt.f64 r) 2)) 1) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 r) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 r -1/2) 1) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 r)) 1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) (cos.f64 (+.f64 b a))) 1/3) (cbrt.f64 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 r (cos.f64 (+.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3) (pow.f64 r 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 b a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 2) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 1 r)) (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))) 2) (/.f64 1 r)) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 r)) (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))) (pow.f64 (exp.f64 1) (*.f64 1/2 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (/.f64 (cos.f64 (+.f64 b a)) r)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 1) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) r)) (pow.f64 (exp.f64 1) (/.f64 (*.f64 (sin.f64 b) (sin.f64 a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (*.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 (+.f64 b a)))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (exp.f64 (cos.f64 (+.f64 b a)))) (/.f64 1 (neg.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (/.f64 (cos.f64 (+.f64 b a)) r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 (/.f64 1 r)) 2)) (cbrt.f64 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 (/.f64 1 r))) (sqrt.f64 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) 1) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (cos.f64 (+.f64 b a)))) (cbrt.f64 (/.f64 1 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 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r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r))) (sqrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (/.f64 1 r)) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) 1)) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) 1)) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 r) -2)) (/.f64 (cos.f64 (+.f64 b a)) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (pow.f64 (cbrt.f64 r) 2))) (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (pow.f64 (cbrt.f64 r) 2))) (/.f64 (sqrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 r -1/2)) (/.f64 (cos.f64 (+.f64 b a)) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2) (sqrt.f64 r))) (/.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (sqrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))))))

simplify166.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

698×	`associate-r_binary64`
668×	`fma-neg_binary64`
652×	`associate-l_binary64`
443×	`times-frac_binary64`
428×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1360
1	409	1331
2	1377	1273
3	7894	1273

Stop Event

1×	node limit

Counts

223 → 192

Calls

Call 1

Inputs
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(exp.f64 (/.f64 (cos.f64 a) r))
(+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (*.f64 (exp.f64 (/.f64 (cos.f64 a) r)) b)) r)))
(+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) b)) r)) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 a) r)))))))
(+.f64 (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 r 3))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) r)) (.f64 1/2 (/.f64 (.f64 (sin.f64 a) (cos.f64 a)) (pow.f64 r 2))))))) (+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) b)) r)) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 a) r))))))))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 b) r))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))) r)) (exp.f64 (/.f64 (cos.f64 b) r)))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))) r)) (+.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 b) r)))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))) r)) (+.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) r)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))) (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 r 2))))))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 b) r))))))))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
1
(+.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r))
(+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2)))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3))) (+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2))))))
1
(+.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r))
(+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2)))))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3))) (+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2))))))

Outputs
(/.f64 (cos.f64 a) r)
(+.f64 (/.f64 (cos.f64 a) r) (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)))
(+.f64 (/.f64 (cos.f64 a) r) (neg.f64 (/.f64 (sin.f64 a) (/.f64 r b))))
(-.f64 (/.f64 (cos.f64 a) r) (*.f64 (/.f64 (sin.f64 a) r) b))
(-.f64 (/.f64 (cos.f64 a) r) (*.f64 b (/.f64 (sin.f64 a) r)))
(+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r))))
(+.f64 (/.f64 (cos.f64 a) r) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r b)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (*.f64 b b)) r))))
(+.f64 (-.f64 (/.f64 (cos.f64 a) r) (.f64 (/.f64 (sin.f64 a) r) b)) (.f64 (/.f64 (cos.f64 a) r) (.f64 -1/2 (.f64 b b))))
(-.f64 (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (/.f64 (cos.f64 a) r)) (.f64 b (/.f64 (sin.f64 a) r)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (sin.f64 a) (pow.f64 b 3)) r)) (+.f64 (/.f64 (cos.f64 a) r) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) b) r)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (pow.f64 b 2)) r)))))
(fma.f64 1/6 (/.f64 (sin.f64 a) (/.f64 r (pow.f64 b 3))) (+.f64 (/.f64 (cos.f64 a) r) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r b)) (.f64 -1/2 (/.f64 (.f64 (cos.f64 a) (*.f64 b b)) r)))))
(+.f64 (-.f64 (.f64 (/.f64 (cos.f64 a) r) (.f64 -1/2 (.f64 b b))) (.f64 (/.f64 (sin.f64 a) r) b)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (/.f64 r (sin.f64 a))) (/.f64 (cos.f64 a) r)))
(fma.f64 1/6 (/.f64 (sin.f64 a) (/.f64 r (pow.f64 b 3))) (-.f64 (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (/.f64 (cos.f64 a) r)) (.f64 b (/.f64 (sin.f64 a) r))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 b) r)
(+.f64 (/.f64 (cos.f64 b) r) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)))
(+.f64 (/.f64 (cos.f64 b) r) (neg.f64 (/.f64 (*.f64 a (sin.f64 b)) r)))
(-.f64 (/.f64 (cos.f64 b) r) (/.f64 (sin.f64 b) (/.f64 r a)))
(-.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 a r) (sin.f64 b)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 r (cos.f64 b))) (neg.f64 (/.f64 (.f64 a (sin.f64 b)) r))))
(+.f64 (/.f64 (cos.f64 b) r) (-.f64 (/.f64 (.f64 -1/2 (.f64 a (*.f64 a (cos.f64 b)))) r) (/.f64 (sin.f64 b) (/.f64 r a))))
(-.f64 (fma.f64 -1/2 (.f64 (cos.f64 b) (/.f64 a (/.f64 r a))) (/.f64 (cos.f64 b) r)) (.f64 (/.f64 a r) (sin.f64 b)))
(+.f64 (/.f64 (cos.f64 b) r) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 2) (cos.f64 b)) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) a) r)) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 (.f64 a a) (/.f64 r (cos.f64 b))) (fma.f64 -1 (/.f64 (.f64 a (sin.f64 b)) r) (.f64 1/6 (/.f64 (.f64 (sin.f64 b) (pow.f64 a 3)) r)))))
(+.f64 (/.f64 (cos.f64 b) r) (fma.f64 -1/2 (/.f64 a (/.f64 (/.f64 r (cos.f64 b)) a)) (-.f64 (/.f64 (*.f64 1/6 (sin.f64 b)) (/.f64 r (pow.f64 a 3))) (/.f64 (sin.f64 b) (/.f64 r a)))))
(fma.f64 -1/2 (.f64 (cos.f64 b) (/.f64 a (/.f64 r a))) (-.f64 (fma.f64 1/6 (.f64 (/.f64 (pow.f64 a 3) r) (sin.f64 b)) (/.f64 (cos.f64 b) r)) (*.f64 (/.f64 a r) (sin.f64 b))))
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(/.f64 (cos.f64 (+.f64 a b)) r)
(exp.f64 (/.f64 (cos.f64 a) r))
(+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 -1 (/.f64 (.f64 (sin.f64 a) (*.f64 (exp.f64 (/.f64 (cos.f64 a) r)) b)) r)))
(+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 r (*.f64 b (exp.f64 (/.f64 (cos.f64 a) r)))))))
(-.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (/.f64 (sin.f64 a) r) (.f64 b (exp.f64 (/.f64 (cos.f64 a) r)))))
(-.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (.f64 b (/.f64 (sin.f64 a) r)) (exp.f64 (/.f64 (cos.f64 a) r))))
(+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) b)) r)) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 a) r)))))))
(+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r (.f64 b (exp.f64 (/.f64 (cos.f64 a) r))))) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (.f64 b b) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (.f64 r r)) (/.f64 (.f64 -1/2 (cos.f64 a)) r))))))
(+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (fma.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 b (.f64 b (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (.f64 1/2 (/.f64 (/.f64 (pow.f64 (sin.f64 a) 2) r) r))))) (/.f64 (neg.f64 (.f64 (*.f64 (sin.f64 a) b) (exp.f64 (/.f64 (cos.f64 a) r)))) r)))
(-.f64 (.f64 (+.f64 (.f64 b (.f64 b (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (.f64 (/.f64 1/2 r) (/.f64 (pow.f64 (sin.f64 a) 2) r))))) 1) (exp.f64 (/.f64 (cos.f64 a) r))) (.f64 (.f64 b (/.f64 (sin.f64 a) r)) (exp.f64 (/.f64 (cos.f64 a) r))))
(fma.f64 (+.f64 (.f64 b (.f64 b (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (.f64 (/.f64 1/2 r) (/.f64 (pow.f64 (sin.f64 a) 2) r))))) 1) (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 a)) r) b) (exp.f64 (/.f64 (cos.f64 a) r))))
(+.f64 (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 r 3))) (+.f64 (.f64 1/6 (/.f64 (sin.f64 a) r)) (.f64 1/2 (/.f64 (.f64 (sin.f64 a) (cos.f64 a)) (pow.f64 r 2))))))) (+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 a) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) b)) r)) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 a) r))))))))
(fma.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (pow.f64 b 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 r 3)) (fma.f64 1/6 (/.f64 (sin.f64 a) r) (.f64 1/2 (/.f64 (.f64 (cos.f64 a) (sin.f64 a)) (.f64 r r)))))) (+.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (fma.f64 -1 (/.f64 (sin.f64 a) (/.f64 r (.f64 b (exp.f64 (/.f64 (cos.f64 a) r))))) (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 (.f64 b b) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 a) 2) (.f64 r r)) (/.f64 (.f64 -1/2 (cos.f64 a)) r)))))))
(+.f64 (fma.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (.f64 b (.f64 b (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (.f64 1/2 (/.f64 (/.f64 (pow.f64 (sin.f64 a) 2) r) r))))) (/.f64 (neg.f64 (.f64 (.f64 (sin.f64 a) b) (exp.f64 (/.f64 (cos.f64 a) r)))) r)) (.f64 (+.f64 (.f64 (pow.f64 b 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 r 3)) (fma.f64 1/6 (/.f64 (sin.f64 a) r) (.f64 (/.f64 1/2 r) (/.f64 (*.f64 (cos.f64 a) (sin.f64 a)) r))))) 1) (exp.f64 (/.f64 (cos.f64 a) r))))
(-.f64 (.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (+.f64 (fma.f64 (pow.f64 b 3) (fma.f64 -1/6 (pow.f64 (/.f64 (sin.f64 a) r) 3) (fma.f64 (/.f64 1/2 r) (/.f64 (cos.f64 a) (/.f64 r (sin.f64 a))) (/.f64 (sin.f64 a) (/.f64 r 1/6)))) 1) (.f64 b (.f64 b (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (.f64 (/.f64 1/2 r) (/.f64 (pow.f64 (sin.f64 a) 2) r))))))) (.f64 (.f64 b (/.f64 (sin.f64 a) r)) (exp.f64 (/.f64 (cos.f64 a) r))))
(fma.f64 (exp.f64 (/.f64 (cos.f64 a) r)) (+.f64 (fma.f64 (pow.f64 b 3) (fma.f64 -1/6 (pow.f64 (/.f64 (sin.f64 a) r) 3) (fma.f64 (/.f64 1/2 r) (/.f64 (cos.f64 a) (/.f64 r (sin.f64 a))) (/.f64 (sin.f64 a) (/.f64 r 1/6)))) 1) (.f64 b (.f64 b (fma.f64 (/.f64 (cos.f64 a) r) -1/2 (.f64 (/.f64 1/2 r) (/.f64 (pow.f64 (sin.f64 a) 2) r)))))) (.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 a)) r) b) (exp.f64 (/.f64 (cos.f64 a) r))))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 a (*.f64 -1 b))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 b) r))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (*.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))) r)) (exp.f64 (/.f64 (cos.f64 b) r)))
(fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 r (*.f64 a (exp.f64 (/.f64 (cos.f64 b) r))))) (exp.f64 (/.f64 (cos.f64 b) r)))
(-.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (sin.f64 b) r) (.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))))
(-.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (.f64 (.f64 (/.f64 a r) (sin.f64 b)) (exp.f64 (/.f64 (cos.f64 b) r))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))) r)) (+.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 b) r)))))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 r (.f64 a (exp.f64 (/.f64 (cos.f64 b) r))))) (exp.f64 (/.f64 (cos.f64 b) r))) (.f64 (.f64 a a) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) (.f64 -1/2 (/.f64 (cos.f64 b) r))))))
(-.f64 (fma.f64 (.f64 a a) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (fma.f64 -1/2 (/.f64 (cos.f64 b) r) (.f64 (/.f64 1/2 r) (/.f64 (pow.f64 (sin.f64 b) 2) r)))) (exp.f64 (/.f64 (cos.f64 b) r))) (.f64 (/.f64 (sin.f64 b) r) (*.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))))
(-.f64 (.f64 (+.f64 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (cos.f64 b) r) (.f64 1/2 (/.f64 (/.f64 (pow.f64 (sin.f64 b) 2) r) r)))) 1) (exp.f64 (/.f64 (cos.f64 b) r))) (.f64 (.f64 (/.f64 a r) (sin.f64 b)) (exp.f64 (/.f64 (cos.f64 b) r))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 b) (.f64 a (exp.f64 (/.f64 (cos.f64 b) r)))) r)) (+.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 1/6 (/.f64 (sin.f64 b) r)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))) (.f64 1/2 (/.f64 (.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 r 2))))))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 r 2))) (*.f64 -1/2 (/.f64 (cos.f64 b) r))))))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 b) (/.f64 r (.f64 a (exp.f64 (/.f64 (cos.f64 b) r))))) (exp.f64 (/.f64 (cos.f64 b) r))) (fma.f64 (pow.f64 a 3) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (fma.f64 1/6 (/.f64 (sin.f64 b) r) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)) (.f64 1/2 (/.f64 (.f64 (cos.f64 b) (sin.f64 b)) (.f64 r r)))))) (.f64 (.f64 a a) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (.f64 r r)) (.f64 -1/2 (/.f64 (cos.f64 b) r)))))))
(+.f64 (-.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (.f64 (/.f64 (sin.f64 b) r) (.f64 a (exp.f64 (/.f64 (cos.f64 b) r))))) (fma.f64 (.f64 a a) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (fma.f64 -1/2 (/.f64 (cos.f64 b) r) (.f64 (/.f64 1/2 r) (/.f64 (pow.f64 (sin.f64 b) 2) r)))) (.f64 (fma.f64 1/6 (/.f64 (sin.f64 b) r) (fma.f64 1/2 (/.f64 (.f64 (cos.f64 b) (sin.f64 b)) (.f64 r r)) (.f64 -1/6 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3))))) (.f64 (pow.f64 a 3) (exp.f64 (/.f64 (cos.f64 b) r))))))
(+.f64 (-.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (.f64 (.f64 (/.f64 a r) (sin.f64 b)) (exp.f64 (/.f64 (cos.f64 b) r)))) (.f64 (exp.f64 (/.f64 (cos.f64 b) r)) (+.f64 (.f64 (.f64 a a) (fma.f64 -1/2 (/.f64 (cos.f64 b) r) (.f64 1/2 (/.f64 (/.f64 (pow.f64 (sin.f64 b) 2) r) r)))) (.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (sin.f64 b) r) (fma.f64 -1/6 (pow.f64 (/.f64 (sin.f64 b) r) 3) (.f64 (/.f64 (cos.f64 b) r) (*.f64 (/.f64 (sin.f64 b) r) 1/2))))))))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (-.f64 b (*.f64 -1 a))) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
(exp.f64 (/.f64 (cos.f64 (+.f64 a b)) r))
1
(+.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1)
(+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2)))))
(+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (.f64 r r)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) 1))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3))) (+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2))))))
(fma.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3)) (+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (.f64 r r))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) r)) (fma.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3)) 1))
(+.f64 1 (fma.f64 1/6 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 3) (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) r))))
1
(+.f64 1 (/.f64 (cos.f64 (+.f64 a b)) r))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1)
(+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2)))))
(+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (.f64 r r)))))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) r)))
(+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) 1))
(+.f64 (.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3))) (+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (pow.f64 r 2))))))
(fma.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3)) (+.f64 1 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (.f64 r r))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) r)) (fma.f64 1/6 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3) (pow.f64 r 3)) 1))
(+.f64 1 (fma.f64 1/6 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 3) (fma.f64 1/2 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) 2) (*.f64 r r)) (/.f64 (cos.f64 (+.f64 a b)) r))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 b))
✓	0.6b	(cbrt.f64 r)
✓	0.6b	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3)
	4.3b	(cos.f64 (+.f64 b a))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series14.0ms (0.1%)

Counts

3 → 16

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	b	@	-inf	(cbrt.f64 (sin.f64 b))
2.0ms	b	@	inf	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3)
2.0ms	b	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3)
2.0ms	b	@	inf	(cbrt.f64 (sin.f64 b))
1.0ms	b	@	0	(pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3)

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
695×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	186	14
2	2049	14

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3)
(cbrt.f64 r)
(cbrt.f64 (sin.f64 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) r)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (cbrt.f64 r) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 r) (*.f64 (cbrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 b) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (cbrt.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) (sqrt.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2)) 3) (cbrt.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (pow.f64 (cbrt.f64 r) 2)) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) (sqrt.f64 r)) (sqrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (cbrt.f64 (sin.f64 b))) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (cbrt.f64 r)) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 2) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) r))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 r)) (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 r)) 2) (cbrt.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 r 1/6) (pow.f64 r 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 r))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 r) 2) 1/3) (cbrt.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 r) 1/3) (pow.f64 (sqrt.f64 r) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 r 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 r 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 r)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (sin.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 b))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 b) 1/6) (pow.f64 (sin.f64 b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 b)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 b)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 b) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 b))))))))

simplify203.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
625×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	112
1	29	88
2	41	88
3	52	88
4	76	88
5	169	88
6	547	88
7	1214	88
8	1306	88
9	1444	88
10	1607	88
11	1846	88
12	2173	88
13	2601	88
14	3106	88
15	3713	88
16	4436	88
17	4759	88
18	5043	88
19	5267	88
20	5445	88
21	5529	88
22	6472	88
23	7449	88
24	7915	88

Stop Event

1×	node limit

Counts

82 → 69

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)
(pow.f64 (sin.f64 b) 1/3)

Outputs
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (.f64 (sin.f64 b) r) (pow.f64 1 1/3))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 b) r))
(.f64 (sin.f64 b) (.f64 r 1))
(*.f64 (sin.f64 b) r)
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))
(pow.f64 (sin.f64 b) 1/3)
(cbrt.f64 (sin.f64 b))

eval1.2s (7.8%)

Compiler: Compiled 26964 to 8241 computations (69.4% saved)

prune345.0ms (2.2%)

Pruning

89 alts after pruning (82 fresh and 7 done)

	Pruned	Kept	Total
New	1056	34	1090
Fresh	20	48	68
Picked	1	0	1
Done	2	7	9
Total	1079	89	1168

Error

0.0b

Counts

1168 → 89

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(*.f64 (/.f64 r (cos.f64 a)) b)
	31.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 b) b) 1) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	51.9b	(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
	16.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
	29.8b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
	52.7b	(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 b) r))))
	25.8b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
	51.9b	(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))
	22.8b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
	32.5b	(/.f64 r (/.f64 (cos.f64 a) b))
	28.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
	40.1b	(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
	50.8b	(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
	0.3b	(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
	32.5b	(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
	32.5b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
	23.1b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
	51.7b	(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
	29.9b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
	16.9b	(.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (sin.f64 b)))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
✓	0.3b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
✓	32.5b	(*.f64 (/.f64 b (cos.f64 a)) r)
	16.3b	(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
	32.6b	(/.f64 b (/.f64 (cos.f64 a) r))
	1.3b	(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) r))
	25.0b	(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)
	48.1b	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
	38.7b	(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
	16.5b	(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
	30.3b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
	25.0b	(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) r)
	36.8b	(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	30.4b	(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 a))
	16.2b	(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
	0.4b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
	51.9b	(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) (neg.f64 r)))
	25.7b	(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
	0.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (.f64 (cos.f64 b) (cbrt.f64 (pow.f64 (cos.f64 a) 2))) (cbrt.f64 (cos.f64 a))) (.f64 (sin.f64 b) (sin.f64 a))))
	62.8b	(/.f64 (sin.f64 b) (log.f64 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1)))
	37.1b	(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3) (cos.f64 (+.f64 b a)))
	31.8b	(/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (/.f64 (cos.f64 a) r)) (.f64 b (/.f64 (sin.f64 a) r))))
	27.5b	(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (*.f64 r (sin.f64 b)))
	29.9b	(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
✓	0.3b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.6b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) 1) (*.f64 (sin.f64 b) (sin.f64 a))))
	27.5b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
	36.8b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
	16.4b	(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
	16.4b	(/.f64 (sin.f64 b) (.f64 1/3 (.f64 3 (/.f64 (cos.f64 (+.f64 b a)) r))))
	42.1b	(.f64 (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))) r)
	32.5b	(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
	16.9b	(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
	25.0b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
	50.3b	(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
	31.2b	(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
	51.9b	(/.f64 (sin.f64 b) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))) (neg.f64 r)))
	16.4b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) r)
	25.7b	(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
	0.4b	(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
	52.7b	(*.f64 (log.f64 (exp.f64 (/.f64 b (cos.f64 a)))) r)
	51.9b	(/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)) (neg.f64 r)))
	0.8b	(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) 3))) r)
	0.4b	(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 r (sin.f64 b)))
	25.7b	(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
	51.9b	(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) r)
	32.8b	(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
✓	0.4b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
	28.7b	(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) r)
	51.9b	(/.f64 (sin.f64 b) (/.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
	52.2b	(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	29.9b	(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
	51.9b	(/.f64 (sin.f64 b) (/.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
	28.7b	(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))) r)
	53.0b	(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
	0.4b	(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))) r)
	26.7b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (*.f64 (sin.f64 b) (sin.f64 a))))
	25.7b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
	41.4b	(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
	0.4b	(/.f64 (sin.f64 b) (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) r)))
✓	0.3b	(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)
	50.8b	(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))
	32.5b	(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
	31.1b	(.f64 (/.f64 1 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (*.f64 r (sin.f64 b)))
✓	42.0b	(*.f64 r b)
	26.2b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
	43.6b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)

Compiler

Compiled 1413 to 953 computations (32.6% saved)

regimes1.1s (7.3%)

Counts

171 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) r)
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) r)
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (.f64 1/3 (.f64 3 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(*.f64 (log.f64 (exp.f64 (/.f64 b (cos.f64 a)))) r)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (log.f64 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (*.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (/.f64 (cos.f64 a) r)) (.f64 b (/.f64 (sin.f64 a) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 a))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 r (sin.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)) (neg.f64 r)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (sin.f64 b)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (sin.f64 b) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))) (neg.f64 r)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (.f64 r (sin.f64 b)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 b) b) 1) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 r (sin.f64 b))) 1/3)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) 2) 3) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) r)))
(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(.f64 (/.f64 1 (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log1p.f64 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (expm1.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (*.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))) r)
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 r (sin.f64 b)) 3)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 b) (cos.f64 a)))) 1) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 b) (cos.f64 a))))) (*.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 a) (cos.f64 b))) 3))) r)
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (fma.f64 (cos.f64 b) (cos.f64 a) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (.f64 (cos.f64 b) (cbrt.f64 (pow.f64 (cos.f64 a) 2))) (cbrt.f64 (cos.f64 a))) (.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) r))
(/.f64 (.f64 r (sin.f64 b)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (*.f64 r (sin.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 2) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
(.f64 (/.f64 (sin.f64 b) (+.f64 (fma.f64 (.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))) r)
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
(.f64 (/.f64 1 (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (*.f64 r (sin.f64 b)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (.f64 (.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))))
(.f64 (/.f64 1 (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2))))) (*.f64 r (sin.f64 b)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 r (sin.f64 b))) 3) (+.f64 (fma.f64 1 (.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 b) (sin.f64 a))) 2)))))

Outputs
(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)

Calls

4 calls:

404.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
207.0ms	b
199.0ms	a
135.0ms	r

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 2661 to 705 computations (73.5% saved)

regimes517.0ms (3.4%)

Counts

133 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) r)
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) r)
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (.f64 1/3 (.f64 3 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(*.f64 (log.f64 (exp.f64 (/.f64 b (cos.f64 a)))) r)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (log.f64 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (*.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (/.f64 (cos.f64 a) r)) (.f64 b (/.f64 (sin.f64 a) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 a))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 r (sin.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)) (neg.f64 r)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (sin.f64 b)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (sin.f64 b) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))) (neg.f64 r)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (.f64 r (sin.f64 b)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 b) b) 1) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 r (sin.f64 b))) 1/3)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) 2) 3) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) r) (/.f64 (.f64 (sin.f64 b) (sin.f64 a)) r)))
(.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) r))

Outputs
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)

Calls

4 calls:

152.0ms	r
125.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
106.0ms	b
94.0ms	a

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1515 to 447 computations (70.5% saved)

regimes389.0ms (2.5%)

Counts

127 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) r)
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) r)
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (.f64 1/3 (.f64 3 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(*.f64 (log.f64 (exp.f64 (/.f64 b (cos.f64 a)))) r)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (log.f64 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (*.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (/.f64 (cos.f64 a) r)) (.f64 b (/.f64 (sin.f64 a) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 a))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 r (sin.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)) (neg.f64 r)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (sin.f64 b)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (sin.f64 b) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))) (neg.f64 r)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (.f64 r (sin.f64 b)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 b) b) 1) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 r (sin.f64 b))) 1/3)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) 2) 3) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) r))

Outputs
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))

Calls

4 calls:

116.0ms	a
85.0ms	r
77.0ms	b
73.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

Results

Error	Segments	Branch
0.3b	1	`r`
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1415 to 428 computations (69.8% saved)

regimes413.0ms (2.7%)

Counts

125 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) r)
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))) r)
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) (neg.f64 r)))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r (sin.f64 b)))
(*.f64 r (/.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(.f64 (sin.f64 b) (.f64 r (/.f64 1 (cos.f64 (+.f64 b a)))))
(/.f64 (sin.f64 b) (*.f64 (neg.f64 (cos.f64 (+.f64 b a))) (/.f64 1 r)))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 b) r)) 1) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (.f64 1/3 (.f64 3 (/.f64 (cos.f64 (+.f64 b a)) r))))
(*.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 1 r)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 b 3) r)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
(*.f64 (log.f64 (exp.f64 (/.f64 b (cos.f64 a)))) r)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 a)) b)) 3)
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) -1)
(/.f64 (sin.f64 b) (log.f64 (+.f64 (/.f64 (cos.f64 (+.f64 a b)) r) 1)))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) r))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 a (sin.f64 b))))
(.f64 (/.f64 1 (-.f64 (cos.f64 b) (.f64 a (sin.f64 b)))) (*.f64 r (sin.f64 b)))
(.f64 (/.f64 1 (-.f64 (cos.f64 a) (.f64 (sin.f64 a) b))) (*.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (-.f64 (.f64 (+.f64 (.f64 b (.f64 b -1/2)) 1) (/.f64 (cos.f64 a) r)) (.f64 b (/.f64 (sin.f64 a) r))))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 b) r))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 a))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 b))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 a))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 b) r))) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (log.f64 (exp.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(/.f64 (sin.f64 b) (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) r))))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
(/.f64 (exp.f64 (log.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(exp.f64 (log.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r (sin.f64 b)) (log.f64 (exp.f64 (cos.f64 (+.f64 b a)))))
(log.f64 (exp.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))))
(/.f64 (sin.f64 b) (/.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a)))) (neg.f64 r)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)
(/.f64 (sin.f64 b) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (+.f64 b a)) r)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3) r)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(pow.f64 (cbrt.f64 (/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))) 3)
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) -2)) (.f64 r (sin.f64 b)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))) 3)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 r (sin.f64 b)) 2)) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 r (sin.f64 b))) 2) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) (sqrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 r (sin.f64 b))) 3) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 b) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 3) (neg.f64 r)))
(/.f64 (sin.f64 b) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3)) (neg.f64 r)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 1/3) 3) (cos.f64 (+.f64 b a)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a)))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 a) (.f64 (sin.f64 b) (sin.f64 a))))
(.f64 (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (+.f64 b a))))) (.f64 r (sin.f64 b)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))) 3) 1/3)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (cos.f64 b) (.f64 (sin.f64 b) (sin.f64 a))))
(pow.f64 (pow.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b)) 3) 1/3)
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 b a)))) 1))
(/.f64 (sin.f64 b) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 b a))))) (neg.f64 r)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (+.f64 b a)))) 3) (.f64 r (sin.f64 b)))
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) a))) r)
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) b)))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) a)))
(/.f64 (.f64 r (sin.f64 b)) (+.f64 (cos.f64 a) (.f64 b (-.f64 (.f64 (cos.f64 a) (.f64 -1/2 b)) (sin.f64 a)))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (fma.f64 -1/2 (.f64 a a) 1) (cos.f64 b)) (.f64 a (sin.f64 b))))
(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (+.f64 (.f64 (.f64 -1/2 b) b) 1) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 a))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 b))) r)
(*.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (cos.f64 a))) r)
(/.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 r)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 r (sin.f64 b))) 1/3)) 3) (cos.f64 (+.f64 b a)))
(/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) 1/6) 2) 3) (cos.f64 (+.f64 b a)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 r) 2) (.f64 (cbrt.f64 r) (sin.f64 b))) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 r (sin.f64 b)) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)

Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)

Calls

4 calls:

101.0ms	r
95.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
87.0ms	b
70.0ms	a

Results

Error	Segments	Branch
16.2b	1	`r`
16.2b	1	`a`
16.2b	1	`b`
16.2b	1	`(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))`

Compiler

Compiled 1383 to 422 computations (69.5% saved)

regimes70.0ms (0.5%)

Counts

39 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) r)
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))

Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))

Calls

3 calls:

21.0ms	b
20.0ms	r
20.0ms	a

Results

Error	Segments	Branch
16.2b	1	`r`
16.2b	1	`a`
16.2b	1	`b`

Compiler

Compiled 308 to 93 computations (69.8% saved)

regimes67.0ms (0.4%)

Counts

38 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 b a))) r)
(.f64 (/.f64 1 (cos.f64 b)) (.f64 r (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(.f64 (/.f64 1 (cos.f64 a)) (.f64 r (sin.f64 b)))

Outputs
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))

Calls

3 calls:

21.0ms	r
19.0ms	a
19.0ms	b

Results

Error	Segments	Branch
16.2b	1	`r`
16.2b	1	`a`
16.2b	1	`b`

Compiler

Compiled 299 to 91 computations (69.6% saved)

regimes175.0ms (1.1%)

Counts

32 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 a))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(/.f64 (*.f64 (sin.f64 b) (neg.f64 r)) (cos.f64 b))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 a)) r))
(/.f64 (sin.f64 b) (/.f64 (neg.f64 (cos.f64 b)) r))

Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))

Calls

3 calls:

77.0ms	r
45.0ms	a
44.0ms	b

Results

Error	Segments	Branch
22.5b	4	`r`
16.4b	3	`a`
16.1b	3	`b`

Compiler

Compiled 245 to 77 computations (68.6% saved)

bsearch171.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
104.0ms	9.392951315321692e-21	2.5994734657612143e-15
66.0ms	-0.00062025530690066	-9.690349234444297e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes153.0ms (1%)

Counts

21 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 a) r))

Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))

Calls

3 calls:

76.0ms	r
38.0ms	b
34.0ms	a

Results

Error	Segments	Branch
22.5b	4	`r`
16.4b	3	`a`
16.1b	3	`b`

Compiler

Compiled 165 to 63 computations (61.8% saved)

bsearch130.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	1.2224342414590965e-14	2.1969071337613816e-7
67.0ms	-0.00062025530690066	-9.690349234444297e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes168.0ms (1.1%)

Counts

19 → 3

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)

Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)

Calls

3 calls:

67.0ms	b
45.0ms	r
29.0ms	a

Results

Error	Segments	Branch
22.5b	4	`r`
16.4b	3	`a`
16.1b	3	`b`

Compiler

Compiled 151 to 60 computations (60.3% saved)

bsearch150.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	9.392951315321692e-21	2.5994734657612143e-15
85.0ms	-0.00062025530690066	-9.690349234444297e-5

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes71.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)

Outputs
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)

Calls

3 calls:

45.0ms	a
11.0ms	b
11.0ms	r

Results

Error	Segments	Branch
29.8b	1	`r`
29.8b	1	`a`
29.8b	1	`b`

Compiler

Compiled 144 to 57 computations (60.4% saved)

regimes34.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) r) b)
(/.f64 1 (/.f64 (cos.f64 a) (*.f64 r b)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r b) (cos.f64 (+.f64 b a)))
(*.f64 (-.f64 (+.f64 1 (/.f64 b (cos.f64 a))) 1) r)
(.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (.f64 r b))
(*.f64 (-.f64 (+.f64 1 (/.f64 r (cos.f64 a))) 1) b)

Outputs
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)

Calls

3 calls:

11.0ms	b
10.0ms	r
10.0ms	a

Results

Error	Segments	Branch
32.5b	1	`r`
32.5b	1	`a`
32.5b	1	`b`

Compiler

Compiled 137 to 54 computations (60.6% saved)

regimes22.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 b (/.f64 (cos.f64 a) r))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 (*.f64 b (neg.f64 r)) (cos.f64 a))

Outputs
(*.f64 (/.f64 b (cos.f64 a)) r)

Calls

3 calls:

7.0ms	b
6.0ms	r
6.0ms	a

Results

Error	Segments	Branch
32.5b	1	`r`
32.5b	1	`a`
32.5b	1	`b`

Compiler

Compiled 67 to 27 computations (59.7% saved)

regimes13.0ms (0.1%)

Accuracy

Total -9.7b remaining (-29.8%)

Threshold costs -9.7b (-29.8%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 r b)
(/.f64 r (/.f64 (cos.f64 a) b))
(/.f64 b (/.f64 (cos.f64 a) r))

Outputs
(/.f64 r (/.f64 (cos.f64 a) b))

Calls

3 calls:

4.0ms	r
4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
32.5b	1	`r`
32.5b	1	`a`
32.5b	1	`b`

Compiler

Compiled 30 to 18 computations (40% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	303
1	84	303
2	95	303
3	100	303
4	102	303

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 b -5720845453378325/9223372036854775808) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 6242686925685171/664613997892457936451903530140172288) (.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -5720845453378325/9223372036854775808) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 1937024374906455/158456325028528675187087900672) (.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(if (<=.f64 b -5720845453378325/9223372036854775808) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 6242686925685171/664613997892457936451903530140172288) (.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(*.f64 (/.f64 b (cos.f64 a)) r)
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r b)

Outputs
(.f64 (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (.f64 (cos.f64 a) (cos.f64 b)))) r)
(.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) r)
(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(.f64 (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))) (sin.f64 b))
(.f64 (sin.f64 b) (/.f64 r (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(if (<=.f64 b -5720845453378325/9223372036854775808) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 6242686925685171/664613997892457936451903530140172288) (.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -5720845453378325/9223372036854775808) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b)) (if (<=.f64 b 6242686925685171/664613997892457936451903530140172288) (.f64 r (.f64 b (/.f64 1 (cos.f64 a)))) (/.f64 (.f64 (sin.f64 b) r) (cos.f64 b))))
(if (<=.f64 b -5720845453378325/9223372036854775808) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 1937024374906455/158456325028528675187087900672) (.f64 (*.f64 (/.f64 1 (cos.f64 a)) b) r) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(if (<=.f64 b -5720845453378325/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b 1937024374906455/158456325028528675187087900672) (.f64 r (*.f64 b (/.f64 1 (cos.f64 a)))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 b) r))))
(if (<=.f64 b -5720845453378325/9223372036854775808) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r) (if (<=.f64 b 6242686925685171/664613997892457936451903530140172288) (.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r) (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r)))
(if (<=.f64 b -5720845453378325/9223372036854775808) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b))) (if (<=.f64 b 6242686925685171/664613997892457936451903530140172288) (.f64 r (.f64 b (/.f64 1 (cos.f64 a)))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 a)) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 a)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) b) r)
(.f64 r (.f64 b (/.f64 1 (cos.f64 a))))
(*.f64 (/.f64 b (cos.f64 a)) r)
(*.f64 r (/.f64 b (cos.f64 a)))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 r b)
(*.f64 b r)

Compiler

Compiled 237 to 147 computations (38% saved)

soundness115.0ms (0.7%)

Algorithm

3×	egg-herbie

Rules

871×	`fma-def_binary64`
816×	`fma-def_binary64`
768×	`associate-l_binary64`
747×	`associate-r_binary64`
497×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	17	14
3	20	14
4	21	14
0	150	1894
1	479	1846
2	1640	1785
0	171	2278
1	562	2195
2	2093	2107

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 169 to 110 computations (34.9% saved)

end138.0ms (0.9%)

Compiler: Compiled 198 to 73 computations (63.1% saved)